72529527960 has 96 divisors (see below), whose sum is σ = 236778272640. Its totient is φ = 19254454272.

The previous prime is 72529527913. The next prime is 72529527977. The reversal of 72529527960 is 6972592527.

72529527960 is a `hidden beast` number, since 7 + 2 + 5 + 29 + 527 + 96 + 0 = 666.

It is a super-2 number, since 2×72529527960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72529527897 and 72529527906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371449 + ... + 532008.

It is an arithmetic number, because the mean of its divisors is an integer number (2466440340).

Almost surely, 2^72529527960 is an apocalyptic number.

It is an amenable number.

72529527960 is an abundant number, since it is smaller than the sum of its proper divisors (164248744680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72529527960 is a wasteful number, since it uses less digits than its factorization.

72529527960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903697 (or 903690 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 72529527960 in words is "seventy-two billion, five hundred twenty-nine million, five hundred twenty-seven thousand, nine hundred sixty".