72506464 has 24 divisors (see below), whose sum is σ = 142936920. Its totient is φ = 36205056.

The previous prime is 72506453. The next prime is 72506501. The reversal of 72506464 is 46460527.

It is a congruent number.

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, 45912 + ... + 47464.

It is an arithmetic number, because the mean of its divisors is an integer number (5955705).

Almost surely, 2^72506464 is an apocalyptic number.

It is an amenable number.

72506464 is a deficient number, since it is larger than the sum of its proper divisors (70430456).

72506464 is a wasteful number, since it uses less digits than its factorization.

72506464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 72506464 is about 8515.0727536528. The cubic root of 72506464 is about 416.9899377828.

The spelling of 72506464 in words is "seventy-two million, five hundred six thousand, four hundred sixty-four".