72316800 has 336 divisors, whose sum is σ = 276485280. Its totient is φ = 18662400.

The previous prime is 72316789. The next prime is 72316801. The reversal of 72316800 is 861327.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72316801) 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 41 ways as a sum of consecutive naturals, for example, 2332785 + ... + 2332815.

Almost surely, 2^72316800 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 72316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138242640).

72316800 is an abundant number, since it is smaller than the sum of its proper divisors (204168480).

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

72316800 is an equidigital number, since it uses as much as digits as its factorization.

72316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72316800 is about 8503.9285039328. The cubic root of 72316800 is about 416.6260298147.

The spelling of 72316800 in words is "seventy-two million, three hundred sixteen thousand, eight hundred".