72916718400 has 756 divisors, whose sum is σ = 279597299072. Its totient is φ = 18689771520.

The previous prime is 72916718341. The next prime is 72916718431. The reversal of 72916718400 is 481761927.

It is a happy number.

72916718400 is a `hidden beast` number, since 72 + 9 + 167 + 18 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 326980689 + ... + 326980911.

Almost surely, 2^72916718400 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 72916718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139798649536).

72916718400 is an abundant number, since it is smaller than the sum of its proper divisors (206680580672).

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

72916718400 is a wasteful number, since it uses less digits than its factorization.

72916718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 72916718400 in words is "seventy-two billion, nine hundred sixteen million, seven hundred eighteen thousand, four hundred".