72565200000 has 384 divisors, whose sum is σ = 267732864000. Its totient is φ = 19347840000.

The previous prime is 72565199957. The next prime is 72565200047. The reversal of 72565200000 is 256527.

72565200000 is a `hidden beast` number, since 7 + 2 + 5 + 652 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10796641 + ... + 10803359.

It is an arithmetic number, because the mean of its divisors is an integer number (697221000).

Almost surely, 2^72565200000 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 72565200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133866432000).

72565200000 is an abundant number, since it is smaller than the sum of its proper divisors (195167664000).

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

72565200000 is an frugal number, since it uses more digits than its factorization.

72565200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 72565200000 its reverse (256527), we get a palindrome (72565456527).

The spelling of 72565200000 in words is "seventy-two billion, five hundred sixty-five million, two hundred thousand".