7972632 has 24 divisors (see below), whose sum is σ = 21592740. Its totient is φ = 2657520.

The previous prime is 7972621. The next prime is 7972633. The reversal of 7972632 is 2362797.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×7972632² = 127125722014848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972633) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55294 + ... + 55437.

Almost surely, 2^7972632 is an apocalyptic number.

7972632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7972632 is an abundant number, since it is smaller than the sum of its proper divisors (13620108).

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

7972632 is a wasteful number, since it uses less digits than its factorization.

7972632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110743 (or 110736 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 7972632 is about 2823.5849553360. The cubic root of 7972632 is about 199.7716727659.

The spelling of 7972632 in words is "seven million, nine hundred seventy-two thousand, six hundred thirty-two".