72887825 has 12 divisors (see below), whose sum is σ = 91184268. Its totient is φ = 57792000.

The previous prime is 72887821. The next prime is 72887827. The reversal of 72887825 is 52878827.

It can be written as a sum of positive squares in 6 ways, for example, as 14258176 + 58629649 = 3776^2 + 7657^2 .

It is not a de Polignac number, because 72887825 - 2² = 72887821 is a prime.

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 72887825.

It is not an unprimeable number, because it can be changed into a prime (72887821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10076 + ... + 15725.

It is an arithmetic number, because the mean of its divisors is an integer number (7598689).

Almost surely, 2^72887825 is an apocalyptic number.

It is an amenable number.

72887825 is a deficient number, since it is larger than the sum of its proper divisors (18296443).

72887825 is a wasteful number, since it uses less digits than its factorization.

72887825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25924 (or 25919 counting only the distinct ones).

The product of its digits is 501760, while the sum is 47.

The square root of 72887825 is about 8537.4366761927. The cubic root of 72887825 is about 417.7197380332.

The spelling of 72887825 in words is "seventy-two million, eight hundred eighty-seven thousand, eight hundred twenty-five".