972160 has 96 divisors (see below), whose sum is σ = 2790720. Its totient is φ = 322560.

The previous prime is 972137. The next prime is 972161. The reversal of 972160 is 61279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31345 + ... + 31375.

It is an arithmetic number, because the mean of its divisors is an integer number (29070).

2⁹⁷²¹⁶⁰ 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 972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395360).

972160 is an abundant number, since it is smaller than the sum of its proper divisors (1818560).

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

972160 is a wasteful number, since it uses less digits than its factorization.

972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 972160 is about 985.9817442529. The cubic root of 972160 is about 99.0632524398.

The spelling of 972160 in words is "nine hundred seventy-two thousand, one hundred sixty".