77972 has 12 divisors (see below), whose sum is σ = 138516. Its totient is φ = 38400.

The previous prime is 77969. The next prime is 77977. The reversal of 77972 is 27977.

It can be written as a sum of positive squares in 2 ways, for example, as 51076 + 26896 = 226^2 + 164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77977) 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, 308 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (11543).

2⁷⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

77972 is a deficient number, since it is larger than the sum of its proper divisors (60544).

77972 is a wasteful number, since it uses less digits than its factorization.

77972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its digits is 6174, while the sum is 32.

The square root of 77972 is about 279.2346683347. The cubic root of 77972 is about 42.7214736221.

The spelling of 77972 in words is "seventy-seven thousand, nine hundred seventy-two".