73233 has 12 divisors (see below), whose sum is σ = 108160. Its totient is φ = 47736.

The previous prime is 73189. The next prime is 73237. The reversal of 73233 is 33237.

73233 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 73233 - 2⁸ = 72977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73237) 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 11 ways as a sum of consecutive naturals, for example, 660 + ... + 762.

2⁷³²³³ is an apocalyptic number.

It is an amenable number.

73233 is a deficient number, since it is larger than the sum of its proper divisors (34927).

73233 is a wasteful number, since it uses less digits than its factorization.

73233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its digits is 378, while the sum is 18.

The square root of 73233 is about 270.6159640524. The cubic root of 73233 is about 41.8378098555.

It can be divided in two parts, 7 and 3233, that added together give a triangular number (3240 = T₈₀).

The spelling of 73233 in words is "seventy-three thousand, two hundred thirty-three".