72717625 has 16 divisors (see below), whose sum is σ = 91243152. Its totient is φ = 57859200.

The previous prime is 72717613. The next prime is 72717629. The reversal of 72717625 is 52671727.

It can be written as a sum of positive squares in 8 ways, for example, as 942841 + 71774784 = 971^2 + 8472^2 .

It is not a de Polignac number, because 72717625 - 2²⁵ = 39163193 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72717629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23149 + ... + 26101.

It is an arithmetic number, because the mean of its divisors is an integer number (5702697).

Almost surely, 2^72717625 is an apocalyptic number.

It is an amenable number.

72717625 is a deficient number, since it is larger than the sum of its proper divisors (18525527).

72717625 is a wasteful number, since it uses less digits than its factorization.

72717625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3155 counting only the distinct ones).

The product of its digits is 41160, while the sum is 37.

The square root of 72717625 is about 8527.4629873134. The cubic root of 72717625 is about 417.3943461960.

The spelling of 72717625 in words is "seventy-two million, seven hundred seventeen thousand, six hundred twenty-five".