72979885440 has 1280 divisors, whose sum is σ = 332700825600. Its totient is φ = 14803845120.

The previous prime is 72979885373. The next prime is 72979885499. The reversal of 72979885440 is 4458897927.

72979885440 is a `hidden beast` number, since 7 + 2 + 9 + 7 + 9 + 88 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 187608766 + ... + 187609154.

It is an arithmetic number, because the mean of its divisors is an integer number (259922520).

Almost surely, 2^72979885440 is an apocalyptic number.

72979885440 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 72979885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166350412800).

72979885440 is an abundant number, since it is smaller than the sum of its proper divisors (259720940160).

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

72979885440 is a wasteful number, since it uses less digits than its factorization.

72979885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 72979885440 in words is "seventy-two billion, nine hundred seventy-nine million, eight hundred eighty-five thousand, four hundred forty".