766072 has 16 divisors (see below), whose sum is σ = 1483200. Its totient is φ = 370560.

The previous prime is 766067. The next prime is 766079. The reversal of 766072 is 270667.

766072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 766072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766079) by changing a digit.

766072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1297 + ... + 1792.

It is an arithmetic number, because the mean of its divisors is an integer number (92700).

2⁷⁶⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

766072 is a deficient number, since it is larger than the sum of its proper divisors (717128).

766072 is a wasteful number, since it uses less digits than its factorization.

766072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 766072 is about 875.2553913002. The cubic root of 766072 is about 91.5004429294.

The spelling of 766072 in words is "seven hundred sixty-six thousand, seventy-two".