76729 has 3 divisors (see below), whose sum is σ = 77007. Its totient is φ = 76452.

The previous prime is 76717. The next prime is 76733. The reversal of 76729 is 92767.

76729 = T₂₇₆ + T₂₇₇.

It is a happy number.

The square root of 76729 is 277.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 13225 + 63504 = 115^2 + 252^2 .

It is not a de Polignac number, because 76729 - 2⁵ = 76697 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76729.

It is not an unprimeable number, because it can be changed into a prime (76129) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 139 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (25669).

2⁷⁶⁷²⁹ is an apocalyptic number.

76729 is the 277-th square number.

76729 is the 139-th centered octagonal number.

It is an amenable number.

76729 is a deficient number, since it is larger than the sum of its proper divisors (278).

76729 is an frugal number, since it uses more digits than its factorization.

76729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The cubic root of 76729 is about 42.4932399859.

The spelling of 76729 in words is "seventy-six thousand, seven hundred twenty-nine".