72933 has 16 divisors (see below), whose sum is σ = 116736. Its totient is φ = 39600.

The previous prime is 72931. The next prime is 72937. The reversal of 72933 is 33927.

It is not a de Polignac number, because 72933 - 2¹ = 72931 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (7296).

2⁷²⁹³³ is an apocalyptic number.

It is an amenable number.

72933 is a deficient number, since it is larger than the sum of its proper divisors (43803).

72933 is a wasteful number, since it uses less digits than its factorization.

72933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its digits is 1134, while the sum is 24.

The square root of 72933 is about 270.0611041968. The cubic root of 72933 is about 41.7806019439.

It can be divided in two parts, 72 and 933, that multiplied together give a palindrome (67176).

The spelling of 72933 in words is "seventy-two thousand, nine hundred thirty-three".