7972532 has 24 divisors (see below), whose sum is σ = 14425992. Its totient is φ = 3852800.

The previous prime is 7972511. The next prime is 7972553. The reversal of 7972532 is 2352797.

It is an interprime number because it is at equal distance from previous prime (7972511) and next prime (7972553).

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 6522916 = 1204^2 + 2554^2 .

It is a super-2 number, since 2×7972532² = 127122532982048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7972492 and 7972501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28232 + ... + 28512.

It is an arithmetic number, because the mean of its divisors is an integer number (601083).

Almost surely, 2^7972532 is an apocalyptic number.

It is an amenable number.

7972532 is a deficient number, since it is larger than the sum of its proper divisors (6453460).

7972532 is a wasteful number, since it uses less digits than its factorization.

7972532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its digits is 26460, while the sum is 35.

The square root of 7972532 is about 2823.5672472955. The cubic root of 7972532 is about 199.7708375231.

The spelling of 7972532 in words is "seven million, nine hundred seventy-two thousand, five hundred thirty-two".