72164584 has 32 divisors (see below), whose sum is σ = 143136000. Its totient is φ = 34013952.

The previous prime is 72164539. The next prime is 72164597. The reversal of 72164584 is 48546127.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 32832 + ... + 34960.

It is an arithmetic number, because the mean of its divisors is an integer number (4473000).

Almost surely, 2^72164584 is an apocalyptic number.

It is an amenable number.

72164584 is a deficient number, since it is larger than the sum of its proper divisors (70971416).

72164584 is a wasteful number, since it uses less digits than its factorization.

72164584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2373 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 72164584 is about 8494.9740435154. The cubic root of 72164584 is about 416.3335127491. Note that the first 3 decimals are identical.

The spelling of 72164584 in words is "seventy-two million, one hundred sixty-four thousand, five hundred eighty-four".