72923625 has 128 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 34560000.

The previous prime is 72923623. The next prime is 72923629. The reversal of 72923625 is 52632927.

72923625 is a `hidden beast` number, since 7 + 2 + 9 + 23 + 625 = 666.

It is not a de Polignac number, because 72923625 - 2¹ = 72923623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72923625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72923621) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1778605 + ... + 1778645.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^72923625 is an apocalyptic number.

72923625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72923625 is an abundant number, since it is smaller than the sum of its proper divisors (78034455).

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

72923625 is a wasteful number, since it uses less digits than its factorization.

72923625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 72923625 is about 8539.5330668603. The cubic root of 72923625 is about 417.7881167093.

The spelling of 72923625 in words is "seventy-two million, nine hundred twenty-three thousand, six hundred twenty-five".