79972992 has 96 divisors (see below), whose sum is σ = 251091360. Its totient is φ = 24230400.

The previous prime is 79972987. The next prime is 79972993. The reversal of 79972992 is 29927997.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (79972993) 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, 9517 + ... + 15827.

It is an arithmetic number, because the mean of its divisors is an integer number (2615535).

Almost surely, 2^79972992 is an apocalyptic number.

79972992 is a gapful number since it is divisible by the number (72) 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 79972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125545680).

79972992 is an abundant number, since it is smaller than the sum of its proper divisors (171118368).

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

79972992 is a wasteful number, since it uses less digits than its factorization.

79972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6327 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 79972992 is about 8942.7619894527. The cubic root of 79972992 is about 430.8384434053.

The spelling of 79972992 in words is "seventy-nine million, nine hundred seventy-two thousand, nine hundred ninety-two".