72658900 has 18 divisors (see below), whose sum is σ = 157670030. Its totient is φ = 29063520.

The previous prime is 72658889. The next prime is 72658921. The reversal of 72658900 is 985627.

It can be written as a sum of positive squares in 3 ways, for example, as 324 + 72658576 = 18^2 + 8524^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72658900.

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, 363195 + ... + 363394.

Almost surely, 2^72658900 is an apocalyptic number.

It is an amenable number.

72658900 is an abundant number, since it is smaller than the sum of its proper divisors (85011130).

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

72658900 is a wasteful number, since it uses less digits than its factorization.

72658900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726603 (or 726596 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 72658900 is about 8524.0190051407. The cubic root of 72658900 is about 417.2819567341.

The spelling of 72658900 in words is "seventy-two million, six hundred fifty-eight thousand, nine hundred".