36729 has 24 divisors (see below), whose sum is σ = 67392. Its totient is φ = 18720.

The previous prime is 36721. The next prime is 36739. The reversal of 36729 is 92763.

It is not a de Polignac number, because 36729 - 2³ = 36721 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 (36721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2³⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

36729 is a deficient number, since it is larger than the sum of its proper divisors (30663).

36729 is a wasteful number, since it uses less digits than its factorization.

36729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 74 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 36729 is about 191.6481150442. The cubic root of 36729 is about 33.2406648375.

It can be divided in two parts, 36 and 729, that multiplied together give a square (26244 = 162²).

The spelling of 36729 in words is "thirty-six thousand, seven hundred twenty-nine".