72960064 has 28 divisors (see below), whose sum is σ = 146418300. Its totient is φ = 36067328.

The previous prime is 72960059. The next prime is 72960079. The reversal of 72960064 is 46006927.

It can be written as a sum of positive squares in 2 ways, for example, as 18318400 + 54641664 = 4280^2 + 7392^2 .

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, 709 + ... + 12100.

It is an arithmetic number, because the mean of its divisors is an integer number (5229225).

Almost surely, 2^72960064 is an apocalyptic number.

It is an amenable number.

72960064 is an abundant number, since it is smaller than the sum of its proper divisors (73458236).

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

72960064 is a wasteful number, since it uses less digits than its factorization.

72960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12910 (or 12900 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 72960064 is about 8541.6663479675. Note that the first 3 decimals coincide. The cubic root of 72960064 is about 417.8576929095.

The spelling of 72960064 in words is "seventy-two million, nine hundred sixty thousand, sixty-four".