72016790400 has 864 divisors, whose sum is σ = 279598901400. Its totient is φ = 17627258880.

The previous prime is 72016790399. The next prime is 72016790441. The reversal of 72016790400 is 409761027.

It is a happy number.

72016790400 is a `hidden beast` number, since 7 + 2 + 0 + 167 + 90 + 400 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 441820719 + ... + 441820881.

Almost surely, 2^72016790400 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 72016790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139799450700).

72016790400 is an abundant number, since it is smaller than the sum of its proper divisors (207582111000).

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

72016790400 is a wasteful number, since it uses less digits than its factorization.

72016790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 72016790400 in words is "seventy-two billion, sixteen million, seven hundred ninety thousand, four hundred".