72970464 has 48 divisors (see below), whose sum is σ = 218913408. Its totient is φ = 20848512.

The previous prime is 72970451. The next prime is 72970501. The reversal of 72970464 is 46407927.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53622 + ... + 54965.

It is an arithmetic number, because the mean of its divisors is an integer number (4560696).

Almost surely, 2^72970464 is an apocalyptic number.

It is an amenable number.

72970464 is an abundant number, since it is smaller than the sum of its proper divisors (145942944).

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

72970464 is a wasteful number, since it uses less digits than its factorization.

72970464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108607 (or 108599 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 72970464 is about 8542.2751067851. The cubic root of 72970464 is about 417.8775462982.

The spelling of 72970464 in words is "seventy-two million, nine hundred seventy thousand, four hundred sixty-four".