72737 has 4 divisors (see below), whose sum is σ = 83136. Its totient is φ = 62340.

The previous prime is 72733. The next prime is 72739. The reversal of 72737 is 73727.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72737 - 2² = 72733 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72737.

It is not an unprimeable number, because it can be changed into a prime (72733) 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, 5189 + ... + 5202.

It is an arithmetic number, because the mean of its divisors is an integer number (20784).

2⁷²⁷³⁷ is an apocalyptic number.

It is an amenable number.

72737 is a deficient number, since it is larger than the sum of its proper divisors (10399).

72737 is a wasteful number, since it uses less digits than its factorization.

72737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10398.

The product of its digits is 2058, while the sum is 26.

The square root of 72737 is about 269.6979792286. The cubic root of 72737 is about 41.7431413309.

Subtracting 72737 from its reverse (73727), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 7 and 2737, that added together give a cube (2744 = 14³).

The spelling of 72737 in words is "seventy-two thousand, seven hundred thirty-seven".