72575964 has 18 divisors (see below), whose sum is σ = 183456000. Its totient is φ = 24191976.

The previous prime is 72575927. The next prime is 72575977. The reversal of 72575964 is 46957527.

72575964 is a `hidden beast` number, since 7 + 2 + 57 + 596 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1007964 + ... + 1008035.

It is an arithmetic number, because the mean of its divisors is an integer number (10192000).

Almost surely, 2^72575964 is an apocalyptic number.

It is an amenable number.

72575964 is an abundant number, since it is smaller than the sum of its proper divisors (110880036).

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

72575964 is a wasteful number, since it uses less digits than its factorization.

72575964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016009 (or 2016004 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 72575964 is about 8519.1527747775. The cubic root of 72575964 is about 417.1231284176.

The spelling of 72575964 in words is "seventy-two million, five hundred seventy-five thousand, nine hundred sixty-four".