72900564 has 36 divisors (see below), whose sum is σ = 186974592. Its totient is φ = 22090640.

The previous prime is 72900559. The next prime is 72900589. The reversal of 72900564 is 46500927.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23652 + ... + 26555.

Almost surely, 2^72900564 is an apocalyptic number.

It is an amenable number.

72900564 is an abundant number, since it is smaller than the sum of its proper divisors (114074028).

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

72900564 is a wasteful number, since it uses less digits than its factorization.

72900564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50236 (or 50223 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72900564 is about 8538.1827106241. The cubic root of 72900564 is about 417.7440723294.

The spelling of 72900564 in words is "seventy-two million, nine hundred thousand, five hundred sixty-four".