72529064960 has 352 divisors, whose sum is σ = 198508561920. Its totient is φ = 25395363840.

The previous prime is 72529064947. The next prime is 72529064977. The reversal of 72529064960 is 6946092527.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 72529064899 and 72529064908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197626697 + ... + 197627063.

Almost surely, 2^72529064960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72529064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99254280960).

72529064960 is an abundant number, since it is smaller than the sum of its proper divisors (125979496960).

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

72529064960 is a wasteful number, since it uses less digits than its factorization.

72529064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 72529064960 in words is "seventy-two billion, five hundred twenty-nine million, sixty-four thousand, nine hundred sixty".