72164624 has 20 divisors (see below), whose sum is σ = 159793344. Its totient is φ = 30927648.

The previous prime is 72164623. The next prime is 72164629. The reversal of 72164624 is 42646127.

It is a super-2 number, since 2×72164624² = 10415465914122752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72164623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 322052 + ... + 322275.

Almost surely, 2^72164624 is an apocalyptic number.

It is an amenable number.

72164624 is an abundant number, since it is smaller than the sum of its proper divisors (87628720).

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

72164624 is a wasteful number, since it uses less digits than its factorization.

72164624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644342 (or 644336 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 72164624 is about 8494.9763978483. The cubic root of 72164624 is about 416.3335896720. Note that the first 3 decimals are identical.

The spelling of 72164624 in words is "seventy-two million, one hundred sixty-four thousand, six hundred twenty-four".