972320 has 48 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 378624.

The previous prime is 972319. The next prime is 972329. The reversal of 972320 is 23279.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (972329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9389 + ... + 9491.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁹⁷²³²⁰ 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 972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

972320 is an abundant number, since it is smaller than the sum of its proper divisors (1386400).

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

972320 is a wasteful number, since it uses less digits than its factorization.

972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 972320 is about 986.0628783196. The cubic root of 972320 is about 99.0686868165.

Adding to 972320 its reverse (23279), we get a palindrome (995599).

The spelling of 972320 in words is "nine hundred seventy-two thousand, three hundred twenty".