27370 is a member of OEIS A046387: products of 5 distinct primes. There are 237 such numbers in the range up to 40,000. The sequence can be generated as follows (permalink):

INPUT

L=[]

for n in [1..40000]:

  if len(prime_factors(n))==5 and len(divisors(n))==32:

    L.append(n)

print(L)

print(len(L))

OUTPUT

[2310, 2730, 3570, 3990, 4290, 4830, 5610, 6006, 6090, 6270, 6510, 6630, 7410, 7590, 7770, 7854, 8610, 8778, 8970, 9030, 9282, 9570, 9690, 9870, 10010, 10230, 10374, 10626, 11130, 11310, 11730, 12090, 12210, 12390, 12558, 12810, 13090, 13110, 13398, 13530, 13566, 14070, 14190, 14322, 14430, 14586, 14630, 14790, 14910, 15015, 15330, 15470, 15510, 15810, 15834, 15990, 16302, 16422, 16530, 16590, 16770, 16926, 17094, 17290, 17430, 17490, 17670, 17710, 18330, 18354, 18690, 18870, 18942, 19470, 19635, 19734, 19866, 20010, 20130, 20202, 20370, 20670, 20706, 20910, 20930, 21090, 21210, 21318, 21390, 21630, 21714, 21930, 21945, 22110, 22134, 22330, 22386, 22470, 22610, 22890, 23010, 23142, 23205, 23370, 23430, 23478, 23730, 23790, 23870, 23970, 24090, 24310, 24486, 24510, 24738, 24882, 25194, 25530, 25662, 25806, 25935, 26070, 26130, 26390, 26418, 26565, 26598, 26670, 26790, 26970, 27030, 27170, 27258, 27370, 27390, 27510, 27690, 28014, 28182, 28210, 28290, 28470, 28490, 28770, 28842, 28938, 29190, 29274, 29370, 29526, 29670, 29946, 30090, 30210, 30498, 30590, 30702, 30810, 30954, 31110, 31290, 31395, 31570, 31710, 31746, 32010, 32190, 32214, 32370, 32430, 32538, 32718, 32802, 32890, 32970, 33110, 33306, 33330, 33495, 33558, 33630, 33670, 33726, 33915, 33990, 34034, 34086, 34170, 34230, 34314, 34410, 34510, 34710, 34770, 34782, 35070, 35178, 35310, 35530, 35670, 35742, 35805, 35970, 36190, 36210, 36330, 36366, 36465, 36498, 36570, 36582, 36890, 36894, 37230, 37290, 37310, 37410, 37506, 37590, 37758, 37830, 37842, 38010, 38038, 38130, 38190, 38346, 38454, 38570, 38766, 38874, 39130, 39390, 39585, 39606, 39858, 39990]

237

27370 is an Ulam number.

27370 is a congruent number.

27370 is an abundant, Zumkeller and pseudoperfect number.

27370 stabilises to two still lifes and a blinker after almost 100 generations.