Prime power decomposition of A372092(n), n = 1..69.
Michael Thomas De Vlieger, St. Louis, Missouri 202404192145.

Exponents m of prime power factor p^m | a(n) appear in column p, replacing 0 with "." to convey p does not divide a(n).

This table shows A372092 is a subset of neither A025487 nor A055932. 

                   A067255(a(n))
                   p   11112
 n           a(n)  235713793    n
---------------------------------
 1             1   .            1
 2             2   1            2
 3             4   2            3
 4             6   11           4
 5            12   21           5
 6            30   111          6
 7            36   22           7
 8            60   211          8
 9           180   221          9
10           240   411         10
11           420   2111        11
12          1008   42.1        12
13          1320   311.1       13
14          1800   322         14
15          2160   431         15
16          2520   3211        16
17          6300   2221        17
18          7560   3311        18
19         12600   3221        19
20         15120   4311        20
21         20160   6211        21
22         30240   5311        22
23         45360   4411        23
24         55440   42111       24
25        100800   6221        25
26        110880   52111       26
27        196560   4311.1      27
28        332640   53111       28
29        498960   44111       29
30        786240   6311.1      30
31        982800   4321.1      31
32       1108800   62211       32
33       1580040   33111..1    33
34       1940400   42221       34
35       1995840   64111       35
36       2402400   512111      36
37       3880800   52221       37
38       4324320   531111      38
39      11476080   44111...1   39
40      11531520   821111      40
41      14414400   622111      41
42      24864840   331111..1   42
43      25225200   422211      43
44      27387360   521111.1    44
45      41081040   431111.1    45
46      43243200   632111      46
47      85765680   4212111     47
48     100900800   622211      48
49     107442720   53111.11    49
50     110270160   4411111     50
51     164324160   631111.1    51
52     183783600   4321111     52
53     302702400   632211      53
54     328648320   731111.1    54
55     367567200   5321111     55
56     805820400   44211.11    56
57     845404560   4311111.1   57
58    1127206080   6211111.1   58
59    1163962800   42211111    59
60    1470268800   7321111     60
61    3087564480   6412111     61
62    3381618240   6311111.1   62
63    4655851200   62211111    63
64    7558911360   731111.11   64
65    8454045600   5321111.1   65
66   12681068400   4421111.1   66
67   13967553600   63211111    67
68   24443218800   43221111    68
69   32125373280   531111111   69
---------------------------------
 n           a(n)      11112    n
                   235713793