72522355276800 has 6336 divisors, whose sum is σ = 349008220377600. Its totient is φ = 14504715878400.

The previous prime is 72522355276769. The next prime is 72522355276801. The reversal of 72522355276800 is 867255322527.

72522355276800 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 2 + 3 + 552 + 7 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72522355276801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 993456921564 + ... + 993456921636.

Almost surely, 2^{72522355276800} 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 72522355276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174504110188800).

72522355276800 is an abundant number, since it is smaller than the sum of its proper divisors (276485865100800).

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

72522355276800 is a wasteful number, since it uses less digits than its factorization.

72522355276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 72522355276800 in words is "seventy-two trillion, five hundred twenty-two billion, three hundred fifty-five million, two hundred seventy-six thousand, eight hundred".