7972320 has 96 divisors (see below), whose sum is σ = 26617248. Its totient is φ = 1998848.

The previous prime is 7972309. The next prime is 7972339. The reversal of 7972320 is 232797.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7672 + ... + 8648.

It is an arithmetic number, because the mean of its divisors is an integer number (277263).

Almost surely, 2^7972320 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 7972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308624).

7972320 is an abundant number, since it is smaller than the sum of its proper divisors (18644928).

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

7972320 is a wasteful number, since it uses less digits than its factorization.

7972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 7972320 is about 2823.5297058823. The cubic root of 7972320 is about 199.7690667852.

The spelling of 7972320 in words is "seven million, nine hundred seventy-two thousand, three hundred twenty".