7972332 has 48 divisors (see below), whose sum is σ = 19891200. Its totient is φ = 2479680.

The previous prime is 7972309. The next prime is 7972339. The reversal of 7972332 is 2332797.

It is a super-3 number, since 3×7972332³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7972293 and 7972302.

It is not an unprimeable number, because it can be changed into a prime (7972339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10419 + ... + 11157.

It is an arithmetic number, because the mean of its divisors is an integer number (414400).

Almost surely, 2^7972332 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 7972332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945600).

7972332 is an abundant number, since it is smaller than the sum of its proper divisors (11918868).

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

7972332 is a wasteful number, since it uses less digits than its factorization.

7972332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its digits is 15876, while the sum is 33.

The square root of 7972332 is about 2823.5318308813. The cubic root of 7972332 is about 199.7691670165.

The spelling of 7972332 in words is "seven million, nine hundred seventy-two thousand, three hundred thirty-two".