765972 has 18 divisors (see below), whose sum is σ = 1936298. Its totient is φ = 255312.

The previous prime is 765971. The next prime is 765983. The reversal of 765972 is 279567.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 298116 = 684^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 21277 = 765972 / (7 + 6 + 5 + 9 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10603 + ... + 10674.

2⁷⁶⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

765972 is an abundant number, since it is smaller than the sum of its proper divisors (1170326).

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

765972 is a wasteful number, since it uses less digits than its factorization.

765972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21287 (or 21282 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 765972 is about 875.1982632524. The cubic root of 765972 is about 91.4964613878.

The spelling of 765972 in words is "seven hundred sixty-five thousand, nine hundred seventy-two".