76518972 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 23627520.

The previous prime is 76518919. The next prime is 76518977. The reversal of 76518972 is 27981567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76518977) 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, 130063 + ... + 130649.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^76518972 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 76518972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

76518972 is an abundant number, since it is smaller than the sum of its proper divisors (136854468).

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

76518972 is a wasteful number, since it uses less digits than its factorization.

76518972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 76518972 is about 8747.5123320862. The cubic root of 76518972 is about 424.5443273018.

The spelling of 76518972 in words is "seventy-six million, five hundred eighteen thousand, nine hundred seventy-two".