72104625 has 48 divisors (see below), whose sum is σ = 131414400. Its totient is φ = 38032800.

The previous prime is 72104603. The next prime is 72104629. The reversal of 72104625 is 52640127.

It is not a de Polignac number, because 72104625 - 2⁸ = 72104369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72104629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120076 + ... + 120674.

It is an arithmetic number, because the mean of its divisors is an integer number (2737800).

Almost surely, 2^72104625 is an apocalyptic number.

72104625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72104625 is a deficient number, since it is larger than the sum of its proper divisors (59309775).

72104625 is a wasteful number, since it uses less digits than its factorization.

72104625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72104625 is about 8491.4442234522. Note that the first 3 decimals coincide. The cubic root of 72104625 is about 416.2181752040.

The spelling of 72104625 in words is "seventy-two million, one hundred four thousand, six hundred twenty-five".