72696564 has 36 divisors (see below), whose sum is σ = 188730724. Its totient is φ = 23576832.

The previous prime is 72696557. The next prime is 72696577. The reversal of 72696564 is 46569627.

It can be written as a sum of positive squares in 2 ways, for example, as 52446564 + 20250000 = 7242^2 + 4500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 25957 + ... + 28620.

Almost surely, 2^72696564 is an apocalyptic number.

72696564 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

72696564 is an abundant number, since it is smaller than the sum of its proper divisors (116034160).

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

72696564 is a wasteful number, since it uses less digits than its factorization.

72696564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54624 (or 54619 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 72696564 is about 8526.2280053961. The cubic root of 72696564 is about 417.3540460572.

The spelling of 72696564 in words is "seventy-two million, six hundred ninety-six thousand, five hundred sixty-four".