7972251392 has 108 divisors (see below), whose sum is σ = 18650600640. Its totient is φ = 3391008768.

The previous prime is 7972251383. The next prime is 7972251433. The reversal of 7972251392 is 2931522797.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1716209 + ... + 1720847.

Almost surely, 2^7972251392 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 7972251392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9325300320).

7972251392 is an abundant number, since it is smaller than the sum of its proper divisors (10678349248).

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

7972251392 is a wasteful number, since it uses less digits than its factorization.

7972251392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4785 counting only the distinct ones).

The product of its digits is 476280, while the sum is 47.

The square root of 7972251392 is about 89287.4649208947. The cubic root of 7972251392 is about 1997.6849372763.

The spelling of 7972251392 in words is "seven billion, nine hundred seventy-two million, two hundred fifty-one thousand, three hundred ninety-two".