72142625 has 16 divisors (see below), whose sum is σ = 90456912. Its totient is φ = 57443200.

The previous prime is 72142613. The next prime is 72142649. The reversal of 72142625 is 52624127.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34492129 + 37650496 = 5873^2 + 6136^2 .

It is not a de Polignac number, because 72142625 - 2⁶ = 72142561 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27887 + ... + 30363.

It is an arithmetic number, because the mean of its divisors is an integer number (5653557).

Almost surely, 2^72142625 is an apocalyptic number.

It is an amenable number.

72142625 is a deficient number, since it is larger than the sum of its proper divisors (18314287).

72142625 is a wasteful number, since it uses less digits than its factorization.

72142625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2715 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 72142625 is about 8493.6814750731. The cubic root of 72142625 is about 416.2912796824.

The spelling of 72142625 in words is "seventy-two million, one hundred forty-two thousand, six hundred twenty-five".