72957824328 has 32 divisors (see below), whose sum is σ = 182578671360. Its totient is φ = 24294726720.

The previous prime is 72957824297. The next prime is 72957824347. The reversal of 72957824328 is 82342875927.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1509975 + ... + 1557542.

It is an arithmetic number, because the mean of its divisors is an integer number (5705583480).

Almost surely, 2^72957824328 is an apocalyptic number.

It is an amenable number.

72957824328 is an abundant number, since it is smaller than the sum of its proper divisors (109620847032).

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

72957824328 is a wasteful number, since it uses less digits than its factorization.

72957824328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068517 (or 3068513 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 72957824328 in words is "seventy-two billion, nine hundred fifty-seven million, eight hundred twenty-four thousand, three hundred twenty-eight".