72633440880 has 960 divisors, whose sum is σ = 341978112000. Its totient is φ = 13928785920.

The previous prime is 72633440827. The next prime is 72633440881. The reversal of 72633440880 is 8804433627.

72633440880 is a `hidden beast` number, since 7 + 2 + 633 + 4 + 4 + 0 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72633440881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15132721 + ... + 15137519.

It is an arithmetic number, because the mean of its divisors is an integer number (356227200).

Almost surely, 2^72633440880 is an apocalyptic number.

72633440880 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 72633440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056000).

72633440880 is an abundant number, since it is smaller than the sum of its proper divisors (269344671120).

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

72633440880 is a wasteful number, since it uses less digits than its factorization.

72633440880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 72633440880 in words is "seventy-two billion, six hundred thirty-three million, four hundred forty thousand, eight hundred eighty".