72733310 has 32 divisors (see below), whose sum is σ = 149288832. Its totient is φ = 25274880.

The previous prime is 72733301. The next prime is 72733333. The reversal of 72733310 is 1333727.

It is a happy number.

It is a super-2 number, since 2×72733310² = 10580268767112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 72733310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14246 + ... + 18665.

It is an arithmetic number, because the mean of its divisors is an integer number (4665276).

Almost surely, 2^72733310 is an apocalyptic number.

72733310 is an abundant number, since it is smaller than the sum of its proper divisors (76555522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72733310 is a wasteful number, since it uses less digits than its factorization.

72733310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32948.

The product of its (nonzero) digits is 2646, while the sum is 26.

The square root of 72733310 is about 8528.3826133681. The cubic root of 72733310 is about 417.4243543252.

The spelling of 72733310 in words is "seventy-two million, seven hundred thirty-three thousand, three hundred ten".