72965764 has 9 divisors (see below), whose sum is σ = 127719991. Its totient is φ = 36474340.

The previous prime is 72965759. The next prime is 72965771. The reversal of 72965764 is 46756927.

The square root of 72965764 is 8542.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×72965764² = 10648005432207392, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14949 + ... + 19219.

Almost surely, 2^72965764 is an apocalyptic number.

72965764 is the 8542-nd square number.

It is an amenable number.

72965764 is a deficient number, since it is larger than the sum of its proper divisors (54754227).

72965764 is an frugal number, since it uses more digits than its factorization.

72965764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 4273 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The cubic root of 72965764 is about 417.8685743273.

The spelling of 72965764 in words is "seventy-two million, nine hundred sixty-five thousand, seven hundred sixty-four".