72368189568000 has 1584 divisors, whose sum is σ = 272068948008000. Its totient is φ = 18495959040000.

The previous prime is 72368189567983. The next prime is 72368189568029. The reversal of 72368189568000 is 86598186327.

72368189568000 is a `hidden beast` number, since 7 + 2 + 3 + 68 + 1 + 8 + 9 + 568 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×72368189568000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145026431751 + ... + 145026432249.

It is an arithmetic number, because the mean of its divisors is an integer number (171760699500).

Almost surely, 2^{72368189568000} 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 72368189568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136034474004000).

72368189568000 is an abundant number, since it is smaller than the sum of its proper divisors (199700758440000).

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

72368189568000 is a wasteful number, since it uses less digits than its factorization.

72368189568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 72368189568000 in words is "seventy-two trillion, three hundred sixty-eight billion, one hundred eighty-nine million, five hundred sixty-eight thousand".