72764000 has 48 divisors (see below), whose sum is σ = 178790976. Its totient is φ = 29104000.

The previous prime is 72763993. The next prime is 72764017. The reversal of 72764000 is 46727.

It is a congruent number.

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, 5096 + ... + 13095.

It is an arithmetic number, because the mean of its divisors is an integer number (3724812).

Almost surely, 2^72764000 is an apocalyptic number.

It is an amenable number.

72764000 is an abundant number, since it is smaller than the sum of its proper divisors (106026976).

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

72764000 is a wasteful number, since it uses less digits than its factorization.

72764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18216 (or 18198 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 72764000 is about 8530.1817096707. The cubic root of 72764000 is about 417.4830571489.

The spelling of 72764000 in words is "seventy-two million, seven hundred sixty-four thousand".