72553502064400 has 360 divisors, whose sum is σ = 208663822785600. Its totient is φ = 24154936888320.

The previous prime is 72553502064361. The next prime is 72553502064403. The reversal of 72553502064400 is 446020535527.

72553502064400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (72553502064403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 364676151 + ... + 364875049.

It is an arithmetic number, because the mean of its divisors is an integer number (579621729960).

Almost surely, 2^{72553502064400} is an apocalyptic number.

72553502064400 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 72553502064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104331911392800).

72553502064400 is an abundant number, since it is smaller than the sum of its proper divisors (136110320721200).

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

72553502064400 is a wasteful number, since it uses less digits than its factorization.

72553502064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199471 (or 199453 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 43.

Adding to 72553502064400 its reverse (446020535527), we get a palindrome (72999522599927).

The spelling of 72553502064400 in words is "seventy-two trillion, five hundred fifty-three billion, five hundred two million, sixty-four thousand, four hundred".