72757967832 has 192 divisors, whose sum is σ = 226528848000. Its totient is φ = 20864563200.

The previous prime is 72757967797. The next prime is 72757967899. The reversal of 72757967832 is 23876975727.

72757967832 is a `hidden beast` number, since 7 + 27 + 579 + 6 + 7 + 8 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72757967832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17619144 + ... + 17623272.

It is an arithmetic number, because the mean of its divisors is an integer number (1179837750).

Almost surely, 2^72757967832 is an apocalyptic number.

72757967832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72757967832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113264424000).

72757967832 is an abundant number, since it is smaller than the sum of its proper divisors (153770880168).

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

72757967832 is a wasteful number, since it uses less digits than its factorization.

72757967832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5335 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 63.

The spelling of 72757967832 in words is "seventy-two billion, seven hundred fifty-seven million, nine hundred sixty-seven thousand, eight hundred thirty-two".