7972544 has 28 divisors (see below), whose sum is σ = 16194024. Its totient is φ = 3892224.

The previous prime is 7972511. The next prime is 7972553. The reversal of 7972544 is 4452797.

It is a super-2 number, since 2×7972544² = 127122915663872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7972498 and 7972507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1304 + ... + 4200.

It is an arithmetic number, because the mean of its divisors is an integer number (578358).

Almost surely, 2^7972544 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 7972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8097012).

7972544 is an abundant number, since it is smaller than the sum of its proper divisors (8221480).

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

7972544 is a wasteful number, since it uses less digits than its factorization.

7972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2942 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 7972544 is about 2823.5693722662. The cubic root of 7972544 is about 199.7709377526.

The spelling of 7972544 in words is "seven million, nine hundred seventy-two thousand, five hundred forty-four".