72822576960 has 560 divisors, whose sum is σ = 302127513600. Its totient is φ = 16643128320.

The previous prime is 72822576901. The next prime is 72822576961. The reversal of 72822576960 is 6967522827.

72822576960 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 2 + 576 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 72822576897 and 72822576906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72822576961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8886465 + ... + 8894655.

Almost surely, 2^72822576960 is an apocalyptic number.

72822576960 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 72822576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151063756800).

72822576960 is an abundant number, since it is smaller than the sum of its proper divisors (229304936640).

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

72822576960 is an equidigital number, since it uses as much as digits as its factorization.

72822576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8241 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 72822576960 in words is "seventy-two billion, eight hundred twenty-two million, five hundred seventy-six thousand, nine hundred sixty".