72722855560320 has 768 divisors, whose sum is σ = 305697754252800. Its totient is φ = 15550876090368.

The previous prime is 72722855560279. The next prime is 72722855560321. The reversal of 72722855560320 is 2306555822727.

72722855560320 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 2 + 8 + 5 + 5 + 5 + 603 + 20 = 666.

It is a super-2 number, since 2×72722855560320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72722855560321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114150826 + ... + 114786134.

It is an arithmetic number, because the mean of its divisors is an integer number (398043950850).

Almost surely, 2^{72722855560320} is an apocalyptic number.

72722855560320 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 72722855560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152848877126400).

72722855560320 is an abundant number, since it is smaller than the sum of its proper divisors (232974898692480).

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

72722855560320 is a wasteful number, since it uses less digits than its factorization.

72722855560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635525 (or 635510 counting only the distinct ones).

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

The spelling of 72722855560320 in words is "seventy-two trillion, seven hundred twenty-two billion, eight hundred fifty-five million, five hundred sixty thousand, three hundred twenty".