72404964 has 36 divisors (see below), whose sum is σ = 188930560. Its totient is φ = 23356080.

The previous prime is 72404947. The next prime is 72404999. The reversal of 72404964 is 46940427.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31324 + ... + 33555.

Almost surely, 2^72404964 is an apocalyptic number.

It is an amenable number.

72404964 is an abundant number, since it is smaller than the sum of its proper divisors (116525596).

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

72404964 is a wasteful number, since it uses less digits than its factorization.

72404964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64920 (or 64915 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72404964 is about 8509.1106468303. The cubic root of 72404964 is about 416.7952689612.

The spelling of 72404964 in words is "seventy-two million, four hundred four thousand, nine hundred sixty-four".