72554405983200 has 864 divisors, whose sum is σ = 271158185765376. Its totient is φ = 18922747944960.

The previous prime is 72554405983187. The next prime is 72554405983261. The reversal of 72554405983200 is 238950445527.

72554405983200 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 4 + 40 + 598 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25610448984 + ... + 25610451816.

It is an arithmetic number, because the mean of its divisors is an integer number (313840492784).

Almost surely, 2^{72554405983200} 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 72554405983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135579092882688).

72554405983200 is an abundant number, since it is smaller than the sum of its proper divisors (198603779782176).

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

72554405983200 is a wasteful number, since it uses less digits than its factorization.

72554405983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 72554405983200 in words is "seventy-two trillion, five hundred fifty-four billion, four hundred five million, nine hundred eighty-three thousand, two hundred".