72608776400 has 30 divisors (see below), whose sum is σ = 174442586262. Its totient is φ = 29043510400.

The previous prime is 72608776363. The next prime is 72608776417. The reversal of 72608776400 is 467780627.

It can be written as a sum of positive squares in 3 ways, for example, as 256384144 + 72352392256 = 16012^2 + 268984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90760571 + ... + 90761370.

Almost surely, 2^72608776400 is an apocalyptic number.

It is an amenable number.

72608776400 is an abundant number, since it is smaller than the sum of its proper divisors (101833809862).

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

72608776400 is a wasteful number, since it uses less digits than its factorization.

72608776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181521959 (or 181521948 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 47.

The spelling of 72608776400 in words is "seventy-two billion, six hundred eight million, seven hundred seventy-six thousand, four hundred".