72959887 has 32 divisors (see below), whose sum is σ = 102251520. Its totient is φ = 50181120.

The previous prime is 72959881. The next prime is 72959891. The reversal of 72959887 is 78895927.

It is not a de Polignac number, because 72959887 - 2³ = 72959879 is a prime.

It is a super-2 number, since 2×72959887² = 10646290222105538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72959881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21439 + ... + 24607.

It is an arithmetic number, because the mean of its divisors is an integer number (3195360).

Almost surely, 2^72959887 is an apocalyptic number.

72959887 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72959887 is a deficient number, since it is larger than the sum of its proper divisors (29291633).

72959887 is a wasteful number, since it uses less digits than its factorization.

72959887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223.

The product of its digits is 2540160, while the sum is 55.

The square root of 72959887 is about 8541.6559869852. The cubic root of 72959887 is about 417.8573550037.

It can be divided in two parts, 72 and 959887, that added together give a palindrome (959959).

The spelling of 72959887 in words is "seventy-two million, nine hundred fifty-nine thousand, eight hundred eighty-seven".