72099500400 has 360 divisors, whose sum is σ = 257042975280. Its totient is φ = 18703872000.

The previous prime is 72099500351. The next prime is 72099500461. The reversal of 72099500400 is 400599027.

72099500400 is a `hidden beast` number, since 7 + 20 + 99 + 500 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 97563231 + ... + 97563969.

Almost surely, 2^72099500400 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 72099500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128521487640).

72099500400 is an abundant number, since it is smaller than the sum of its proper divisors (184943474880).

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

72099500400 is a wasteful number, since it uses less digits than its factorization.

72099500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 72099500400 in words is "seventy-two billion, ninety-nine million, five hundred thousand, four hundred".