766272 has 56 divisors (see below), whose sum is σ = 2190496. Its totient is φ = 235008.

The previous prime is 766261. The next prime is 766273. The reversal of 766272 is 272667.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766272.

It is not an unprimeable number, because it can be changed into a prime (766273) by changing a digit.

766272 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 7 ways as a sum of consecutive naturals, for example, 2343 + ... + 2649.

It is an arithmetic number, because the mean of its divisors is an integer number (39116).

2⁷⁶⁶²⁷² 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 766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095248).

766272 is an abundant number, since it is smaller than the sum of its proper divisors (1424224).

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

766272 is a wasteful number, since it uses less digits than its factorization.

766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 766272 is about 875.3696362109. The cubic root of 766272 is about 91.5084049731.

The spelling of 766272 in words is "seven hundred sixty-six thousand, two hundred seventy-two".