72624123 has 48 divisors (see below), whose sum is σ = 125090784. Its totient is φ = 40020480.

The previous prime is 72624109. The next prime is 72624143. The reversal of 72624123 is 32142627.

It is not a de Polignac number, because 72624123 - 2⁴ = 72624107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72624143) 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, 93565 + ... + 94337.

It is an arithmetic number, because the mean of its divisors is an integer number (2606058).

Almost surely, 2^72624123 is an apocalyptic number.

72624123 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

72624123 is a deficient number, since it is larger than the sum of its proper divisors (52466661).

72624123 is a wasteful number, since it uses less digits than its factorization.

72624123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 873 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 72624123 is about 8521.9788194996. The cubic root of 72624123 is about 417.2153710370.

The spelling of 72624123 in words is "seventy-two million, six hundred twenty-four thousand, one hundred twenty-three".