72438625 has 16 divisors (see below), whose sum is σ = 103319424. Its totient is φ = 49671600.

The previous prime is 72438623. The next prime is 72438631. The reversal of 72438625 is 52683427.

It is not a de Polignac number, because 72438625 - 2¹ = 72438623 is a prime.

It is a super-3 number, since 3×72438625³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72438623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40519 + ... + 42268.

It is an arithmetic number, because the mean of its divisors is an integer number (6457464).

Almost surely, 2^72438625 is an apocalyptic number.

It is an amenable number.

72438625 is a deficient number, since it is larger than the sum of its proper divisors (30880799).

72438625 is an equidigital number, since it uses as much as digits as its factorization.

72438625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82809 (or 82799 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 72438625 is about 8511.0883557862. The cubic root of 72438625 is about 416.8598481981.

The spelling of 72438625 in words is "seventy-two million, four hundred thirty-eight thousand, six hundred twenty-five".