72359654400 has 1056 divisors, whose sum is σ = 300207452160. Its totient is φ = 16920576000.

The previous prime is 72359654399. The next prime is 72359654429. The reversal of 72359654400 is 445695327.

72359654400 is a `hidden beast` number, since 7 + 2 + 3 + 596 + 54 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 235699047 + ... + 235699353.

It is an arithmetic number, because the mean of its divisors is an integer number (284287360).

Almost surely, 2^72359654400 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 72359654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150103726080).

72359654400 is an abundant number, since it is smaller than the sum of its proper divisors (227847797760).

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

72359654400 is a wasteful number, since it uses less digits than its factorization.

72359654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 72359654400 in words is "seventy-two billion, three hundred fifty-nine million, six hundred fifty-four thousand, four hundred".