972672 has 64 divisors (see below), whose sum is σ = 2754000. Its totient is φ = 303104.

The previous prime is 972661. The next prime is 972679. The reversal of 972672 is 276279.

972672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972679) 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, 6454 + ... + 6602.

2⁹⁷²⁶⁷² 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 972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377000).

972672 is an abundant number, since it is smaller than the sum of its proper divisors (1781328).

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

972672 is a wasteful number, since it uses less digits than its factorization.

972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 972672 is about 986.2413497720. The cubic root of 972672 is about 99.0806403471.

The spelling of 972672 in words is "nine hundred seventy-two thousand, six hundred seventy-two".