72774864 has 120 divisors (see below), whose sum is σ = 218135840. Its totient is φ = 22581504.

The previous prime is 72774839. The next prime is 72774869. The reversal of 72774864 is 46847727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72774869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183114 + ... + 183510.

Almost surely, 2^72774864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72774864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109067920).

72774864 is an abundant number, since it is smaller than the sum of its proper divisors (145360976).

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

72774864 is a wasteful number, since it uses less digits than its factorization.

72774864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 72774864 is about 8530.8184835923. The cubic root of 72774864 is about 417.5038334953.

The spelling of 72774864 in words is "seventy-two million, seven hundred seventy-four thousand, eight hundred sixty-four".