972768 has 24 divisors (see below), whose sum is σ = 2553768. Its totient is φ = 324224.

The previous prime is 972721. The next prime is 972787. The reversal of 972768 is 867279.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4971 + ... + 5162.

It is an arithmetic number, because the mean of its divisors is an integer number (106407).

2⁹⁷²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

972768 is an abundant number, since it is smaller than the sum of its proper divisors (1581000).

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

972768 is a wasteful number, since it uses less digits than its factorization.

972768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10138 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 972768 is about 986.2900181995. The cubic root of 972768 is about 99.0838999003.

It can be divided in two parts, 972 and 768, that multiplied together give a square (746496 = 864²).

The spelling of 972768 in words is "nine hundred seventy-two thousand, seven hundred sixty-eight".