72876888 has 128 divisors (see below), whose sum is σ = 233587200. Its totient is φ = 20621952.

The previous prime is 72876871. The next prime is 72876899. The reversal of 72876888 is 88867827.

It is a super-2 number, since 2×72876888² = 10622081609129088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237231 + ... + 237537.

It is an arithmetic number, because the mean of its divisors is an integer number (1824900).

Almost surely, 2^72876888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72876888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116793600).

72876888 is an abundant number, since it is smaller than the sum of its proper divisors (160710312).

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

72876888 is a wasteful number, since it uses less digits than its factorization.

72876888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 72876888 is about 8536.7961203252. The cubic root of 72876888 is about 417.6988436918.

The spelling of 72876888 in words is "seventy-two million, eight hundred seventy-six thousand, eight hundred eighty-eight".