76712 has 16 divisors (see below), whose sum is σ = 147840. Its totient is φ = 37296.

The previous prime is 76697. The next prime is 76717. The reversal of 76712 is 21767.

76712 = 14² + 15² + ... + 61².

It is a happy number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76712.

It is not an unprimeable number, because it can be changed into a prime (76717) 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, 233 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2⁷⁶⁷¹² is an apocalyptic number.

It is an amenable number.

76712 is a deficient number, since it is larger than the sum of its proper divisors (71128).

76712 is a wasteful number, since it uses less digits than its factorization.

76712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its digits is 588, while the sum is 23.

The square root of 76712 is about 276.9693123795. The cubic root of 76712 is about 42.4901015010.

Subtracting from 76712 its reverse (21767), we obtain a palindrome (54945).

The spelling of 76712 in words is "seventy-six thousand, seven hundred twelve".