72729 has 6 divisors (see below), whose sum is σ = 105066. Its totient is φ = 48480.

The previous prime is 72727. The next prime is 72733. The reversal of 72729 is 92727.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 15129 = 240^2 + 123^2 .

It is not a de Polignac number, because 72729 - 2¹ = 72727 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4032 + ... + 4049.

It is an arithmetic number, because the mean of its divisors is an integer number (17511).

2⁷²⁷²⁹ is an apocalyptic number.

It is an amenable number.

72729 is a deficient number, since it is larger than the sum of its proper divisors (32337).

72729 is a wasteful number, since it uses less digits than its factorization.

72729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8084 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 72729 is about 269.6831474156. The cubic root of 72729 is about 41.7416108977.

The spelling of 72729 in words is "seventy-two thousand, seven hundred twenty-nine".