72733323 has 16 divisors (see below), whose sum is σ = 105912576. Its totient is φ = 44126880.

The previous prime is 72733301. The next prime is 72733333. The reversal of 72733323 is 32333727.

It is not a de Polignac number, because 72733323 - 2¹⁰ = 72732299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72733333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10365 + ... + 15902.

It is an arithmetic number, because the mean of its divisors is an integer number (6619536).

Almost surely, 2^72733323 is an apocalyptic number.

72733323 is a deficient number, since it is larger than the sum of its proper divisors (33179253).

72733323 is a wasteful number, since it uses less digits than its factorization.

72733323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26354.

The product of its digits is 15876, while the sum is 30.

The square root of 72733323 is about 8528.3833755290. The cubic root of 72733323 is about 417.4243791947.

The spelling of 72733323 in words is "seventy-two million, seven hundred thirty-three thousand, three hundred twenty-three".