72929 has 4 divisors (see below), whose sum is σ = 73476. Its totient is φ = 72384.

The previous prime is 72923. The next prime is 72931. The reversal of 72929 is 92927.

It is a happy 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 2 ways, for example, as 5329 + 67600 = 73^2 + 260^2 .

It is a cyclic number.

It is not a de Polignac number, because 72929 - 2⁸ = 72673 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72923) 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, 77 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (18369).

2⁷²⁹²⁹ is an apocalyptic number.

It is an amenable number.

72929 is a deficient number, since it is larger than the sum of its proper divisors (547).

72929 is a wasteful number, since it uses less digits than its factorization.

72929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546.

The product of its digits is 2268, while the sum is 29.

The square root of 72929 is about 270.0536983639. The cubic root of 72929 is about 41.7798381128.

Subtracting from 72929 its sum of digits (29), we obtain a square (72900 = 270²).

It can be divided in two parts, 72 and 929, that added together give a palindrome (1001).

The spelling of 72929 in words is "seventy-two thousand, nine hundred twenty-nine".