72344756204400 has 960 divisors, whose sum is σ = 267510043975680. Its totient is φ = 16613691494400.

The previous prime is 72344756204323. The next prime is 72344756204431. The reversal of 72344756204400 is 440265744327.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72344756204400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 834277045 + ... + 834363755.

It is an arithmetic number, because the mean of its divisors is an integer number (278656295808).

Almost surely, 2^{72344756204400} 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 72344756204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133755021987840).

72344756204400 is an abundant number, since it is smaller than the sum of its proper divisors (195165287771280).

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

72344756204400 is a wasteful number, since it uses less digits than its factorization.

72344756204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86854 (or 86843 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 48.

The spelling of 72344756204400 in words is "seventy-two trillion, three hundred forty-four billion, seven hundred fifty-six million, two hundred four thousand, four hundred".