72738816 has 48 divisors (see below), whose sum is σ = 193939200. Its totient is φ = 24244224.

The previous prime is 72738791. The next prime is 72738823. The reversal of 72738816 is 61883727.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225 + ... + 12063.

It is an arithmetic number, because the mean of its divisors is an integer number (4040400).

Almost surely, 2^72738816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96969600).

72738816 is an abundant number, since it is smaller than the sum of its proper divisors (121200384).

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

72738816 is a wasteful number, since it uses less digits than its factorization.

72738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864 (or 11844 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 72738816 is about 8528.7054117257. The cubic root of 72738816 is about 417.4348872365.

The spelling of 72738816 in words is "seventy-two million, seven hundred thirty-eight thousand, eight hundred sixteen".