27564 is a member of OEIS A238657: number of partitions of n having standard deviation > 5. Here n=48. The sequence begins:

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 9, 11, 16, 25, 34, 45, 64, 87, 121, 160, 212, 279, 369, 481, 614, 797, 1027, 1308, 1670, 2102, 2661, 3345, 4189, 5224, 6494, 8069, 9982, 12281, 15093, 18508, 22731, 27564, 33639, 40757, ...

The case for n=48 can be confirmed as follows:

INPUT

import numpy

count=0

number=48

P=Partitions(number)

for p in P:

  if numpy.var(p)>25:

    count+=1

print(count)

OUTPUT

27564

27564 is a happy number.

27564 is an esthetic number in base 8 (65654)because in such base its adjacent digits differ by 1.

27564 is a tau number because it is divisible by the number of its divisors (12).

27564 is an abundant, Zumkeller and pseudoperfect number.

27564 can be rendered as a digit equation as follows:

-2 + 7 = -5 + 6 + 4