723972816 has 140 divisors (see below), whose sum is σ = 2403795552. Its totient is φ = 206826048.

The previous prime is 723972803. The next prime is 723972859. The reversal of 723972816 is 618279327.

723972816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 77215 + ... + 86081.

Almost surely, 2^723972816 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 723972816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201897776).

723972816 is an abundant number, since it is smaller than the sum of its proper divisors (1679822736).

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

723972816 is an equidigital number, since it uses as much as digits as its factorization.

723972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900 (or 8879 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 723972816 is about 26906.7429467039. The cubic root of 723972816 is about 897.9264262154.

The spelling of 723972816 in words is "seven hundred twenty-three million, nine hundred seventy-two thousand, eight hundred sixteen".