7972590 has 64 divisors (see below), whose sum is σ = 20528640. Its totient is φ = 1975680.

The previous prime is 7972589. The next prime is 7972603. The reversal of 7972590 is 952797.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40372 + ... + 40568.

It is an arithmetic number, because the mean of its divisors is an integer number (320760).

Almost surely, 2^7972590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7972590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264320).

7972590 is an abundant number, since it is smaller than the sum of its proper divisors (12556050).

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

7972590 is a wasteful number, since it uses less digits than its factorization.

7972590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297.

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 7972590 is about 2823.5775179725. The cubic root of 7972590 is about 199.7713219648.

The spelling of 7972590 in words is "seven million, nine hundred seventy-two thousand, five hundred ninety".