76772 has 12 divisors (see below), whose sum is σ = 142380. Its totient is φ = 36096.

The previous prime is 76771. The next prime is 76777. The reversal of 76772 is 27767.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 45796 = 176^2 + 214^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (76771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 497 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (11865).

2⁷⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

76772 is a deficient number, since it is larger than the sum of its proper divisors (65608).

76772 is a wasteful number, since it uses less digits than its factorization.

76772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1148 counting only the distinct ones).

The product of its digits is 4116, while the sum is 29.

The square root of 76772 is about 277.0776064571. The cubic root of 76772 is about 42.5011764380.

It can be divided in two parts, 76 and 772, that added together give a palindrome (848).

The spelling of 76772 in words is "seventy-six thousand, seven hundred seventy-two".