72558658904400 has 600 divisors, whose sum is σ = 262704498496704. Its totient is φ = 19178631014400.

The previous prime is 72558658904327. The next prime is 72558658904429. The reversal of 72558658904400 is 440985685527.

72558658904400 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 8 + 6 + 589 + 0 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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, 3764773164 + ... + 3764792436.

Almost surely, 2^{72558658904400} 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 72558658904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131352249248352).

72558658904400 is an abundant number, since it is smaller than the sum of its proper divisors (190145839592304).

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

72558658904400 is a wasteful number, since it uses less digits than its factorization.

72558658904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20321 (or 20301 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 72558658904400 in words is "seventy-two trillion, five hundred fifty-eight billion, six hundred fifty-eight million, nine hundred four thousand, four hundred".