72509568 has 32 divisors (see below), whose sum is σ = 192604560. Its totient is φ = 24169728.

The previous prime is 72509557. The next prime is 72509581. The reversal of 72509568 is 86590527.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94030 + ... + 94797.

Almost surely, 2^72509568 is an apocalyptic number.

It is an amenable number.

72509568 is an abundant number, since it is smaller than the sum of its proper divisors (120094992).

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

72509568 is a wasteful number, since it uses less digits than its factorization.

72509568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188844 (or 188832 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 72509568 is about 8515.2550167332. The cubic root of 72509568 is about 416.9958881410.

The spelling of 72509568 in words is "seventy-two million, five hundred nine thousand, five hundred sixty-eight".