72779360 has 48 divisors (see below), whose sum is σ = 179426016. Its totient is φ = 27844608.

The previous prime is 72779347. The next prime is 72779381. The reversal of 72779360 is 6397727.

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, 6209 + ... + 13568.

It is an arithmetic number, because the mean of its divisors is an integer number (3738042).

Almost surely, 2^72779360 is an apocalyptic number.

It is an amenable number.

72779360 is an abundant number, since it is smaller than the sum of its proper divisors (106646656).

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

72779360 is a wasteful number, since it uses less digits than its factorization.

72779360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19815 (or 19807 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 41.

The square root of 72779360 is about 8531.0819946827. The cubic root of 72779360 is about 417.5124310544.

The spelling of 72779360 in words is "seventy-two million, seven hundred seventy-nine thousand, three hundred sixty".