72733 has 2 divisors, whose sum is σ = 72734. Its totient is φ = 72732.

The previous prime is 72727. The next prime is 72739. The reversal of 72733 is 33727.

It is a balanced prime because it is at equal distance from previous prime (72727) and next prime (72739).

It can be written as a sum of positive squares in only one way, i.e., 71289 + 1444 = 267^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 72733 - 2⁵ = 72701 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36366 + 36367.

It is an arithmetic number, because the mean of its divisors is an integer number (36367).

2⁷²⁷³³ is an apocalyptic number.

It is an amenable number.

72733 is a deficient number, since it is larger than the sum of its proper divisors (1).

72733 is an equidigital number, since it uses as much as digits as its factorization.

72733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 882, while the sum is 22.

The square root of 72733 is about 269.6905634241. The cubic root of 72733 is about 41.7423761283.

The spelling of 72733 in words is "seventy-two thousand, seven hundred thirty-three".