72164625 has 64 divisors (see below), whose sum is σ = 131459328. Its totient is φ = 34944000.

The previous prime is 72164623. The next prime is 72164629. The reversal of 72164625 is 52646127.

It is not a de Polignac number, because 72164625 - 2¹ = 72164623 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 550810 + ... + 550940.

It is an arithmetic number, because the mean of its divisors is an integer number (2054052).

Almost surely, 2^72164625 is an apocalyptic number.

72164625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72164625 is a deficient number, since it is larger than the sum of its proper divisors (59294703).

72164625 is a wasteful number, since it uses less digits than its factorization.

72164625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 72164625 is about 8494.9764567066. The cubic root of 72164625 is about 416.3335915951. Note that the first 3 decimals are identical.

The spelling of 72164625 in words is "seventy-two million, one hundred sixty-four thousand, six hundred twenty-five".