72111625 has 16 divisors (see below), whose sum is σ = 90359568. Its totient is φ = 57456000.

The previous prime is 72111619. The next prime is 72111649. The reversal of 72111625 is 52611127.

It can be written as a sum of positive squares in 8 ways, for example, as 17040384 + 55071241 = 4128^2 + 7421^2 .

It is not a de Polignac number, because 72111625 - 2³ = 72111617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72111625.

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, 34099 + ... + 36151.

It is an arithmetic number, because the mean of its divisors is an integer number (5647473).

Almost surely, 2^72111625 is an apocalyptic number.

It is an amenable number.

72111625 is a deficient number, since it is larger than the sum of its proper divisors (18247943).

72111625 is a wasteful number, since it uses less digits than its factorization.

72111625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2339 counting only the distinct ones).

The product of its digits is 840, while the sum is 25.

The square root of 72111625 is about 8491.8563930392. The cubic root of 72111625 is about 416.2316437480.

It can be divided in two parts, 7211 and 1625, that added together give a square (8836 = 94²).

The spelling of 72111625 in words is "seventy-two million, one hundred eleven thousand, six hundred twenty-five".