72205222676400 has 720 divisors, whose sum is σ = 276366188217600. Its totient is φ = 17311793817600.

The previous prime is 72205222676381. The next prime is 72205222676401. The reversal of 72205222676400 is 467622250227.

72205222676400 is a `hidden beast` number, since 7 + 2 + 2 + 0 + 522 + 2 + 67 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72205222676401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2597389701 + ... + 2597417499.

It is an arithmetic number, because the mean of its divisors is an integer number (383841928080).

Almost surely, 2^{72205222676400} 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 72205222676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138183094108800).

72205222676400 is an abundant number, since it is smaller than the sum of its proper divisors (204160965541200).

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

72205222676400 is a wasteful number, since it uses less digits than its factorization.

72205222676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28554 (or 28540 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 72205222676400 in words is "seventy-two trillion, two hundred five billion, two hundred twenty-two million, six hundred seventy-six thousand, four hundred".