72516552007200 has 432 divisors, whose sum is σ = 274602553311744. Its totient is φ = 16573774694400.

The previous prime is 72516552007157. The next prime is 72516552007217. The reversal of 72516552007200 is 270025561527.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1979307282 + ... + 1979343918.

It is an arithmetic number, because the mean of its divisors is an integer number (635654058592).

Almost surely, 2^{72516552007200} is an apocalyptic number.

72516552007200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72516552007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137301276655872).

72516552007200 is an abundant number, since it is smaller than the sum of its proper divisors (202086001304544).

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

72516552007200 is a wasteful number, since it uses less digits than its factorization.

72516552007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53505 (or 53485 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

Adding to 72516552007200 its reverse (270025561527), we get a palindrome (72786577568727).

The spelling of 72516552007200 in words is "seventy-two trillion, five hundred sixteen billion, five hundred fifty-two million, seven thousand, two hundred".