72086625 has 128 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 33696000.

The previous prime is 72086611. The next prime is 72086633. The reversal of 72086625 is 52668027.

72086625 is a `hidden beast` number, since 7 + 20 + 8 + 6 + 625 = 666.

It is not a de Polignac number, because 72086625 - 2⁵ = 72086593 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72086625.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1360099 + ... + 1360151.

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

Almost surely, 2^72086625 is an apocalyptic number.

72086625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72086625 is an abundant number, since it is smaller than the sum of its proper divisors (78871455).

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

72086625 is a wasteful number, since it uses less digits than its factorization.

72086625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 72086625 is about 8490.3842669222. The cubic root of 72086625 is about 416.1835378019.

The spelling of 72086625 in words is "seventy-two million, eighty-six thousand, six hundred twenty-five".