72000952358400 has 1200 divisors, whose sum is σ = 296238457941888. Its totient is φ = 17151492096000.

The previous prime is 72000952358399. The next prime is 72000952358519. The reversal of 72000952358400 is 485325900027.

72000952358400 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 0 + 9 + 5 + 235 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 417744240 + ... + 417916560.

Almost surely, 2^{72000952358400} 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 72000952358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148119228970944).

72000952358400 is an abundant number, since it is smaller than the sum of its proper divisors (224237505583488).

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

72000952358400 is a wasteful number, since it uses less digits than its factorization.

72000952358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172405 (or 172375 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 72000952358400 in words is "seventy-two trillion, nine hundred fifty-two million, three hundred fifty-eight thousand, four hundred".