72882176 has 48 divisors (see below), whose sum is σ = 153480600. Its totient is φ = 34504704.

The previous prime is 72882149. The next prime is 72882181. The reversal of 72882176 is 67128827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37976 + ... + 39848.

Almost surely, 2^72882176 is an apocalyptic number.

72882176 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72882176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76740300).

72882176 is an abundant number, since it is smaller than the sum of its proper divisors (80598424).

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

72882176 is a wasteful number, since it uses less digits than its factorization.

72882176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1894 counting only the distinct ones).

The product of its digits is 75264, while the sum is 41.

The square root of 72882176 is about 8537.1058327749. The cubic root of 72882176 is about 417.7089462914.

The spelling of 72882176 in words is "seventy-two million, eight hundred eighty-two thousand, one hundred seventy-six".