72975624864 has 48 divisors (see below), whose sum is σ = 191602222560. Its totient is φ = 24319975680.

The previous prime is 72975624857. The next prime is 72975624871. The reversal of 72975624864 is 46842657927.

It is an interprime number because it is at equal distance from previous prime (72975624857) and next prime (72975624871).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 72975624798 and 72975624807.

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, 380379 + ... + 539109.

It is an arithmetic number, because the mean of its divisors is an integer number (3991712970).

Almost surely, 2^72975624864 is an apocalyptic number.

It is an amenable number.

72975624864 is an abundant number, since it is smaller than the sum of its proper divisors (118626597696).

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

72975624864 is a wasteful number, since it uses less digits than its factorization.

72975624864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163533 (or 163525 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 72975624864 in words is "seventy-two billion, nine hundred seventy-five million, six hundred twenty-four thousand, eight hundred sixty-four".