7972992 has 80 divisors (see below), whose sum is σ = 23758350. Its totient is φ = 2654208.

The previous prime is 7972969. The next prime is 7973047. The reversal of 7972992 is 2992797.

7972992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7096896 + 876096 = 2664^2 + 936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9984 + ... + 10752.

Almost surely, 2^7972992 is an apocalyptic number.

7972992 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 7972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879175).

7972992 is an abundant number, since it is smaller than the sum of its proper divisors (15785358).

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

7972992 is an equidigital number, since it uses as much as digits as its factorization.

7972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 774 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 7972992 is about 2823.6487033624. The cubic root of 7972992 is about 199.7746795822.

The spelling of 7972992 in words is "seven million, nine hundred seventy-two thousand, nine hundred ninety-two".