72788379840 has 896 divisors, whose sum is σ = 297845683200. Its totient is φ = 16548986880.

The previous prime is 72788379743. The next prime is 72788379877. The reversal of 72788379840 is 4897388727.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312396364 + ... + 312396596.

Almost surely, 2^72788379840 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 72788379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148922841600).

72788379840 is an abundant number, since it is smaller than the sum of its proper divisors (225057303360).

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

72788379840 is a wasteful number, since it uses less digits than its factorization.

72788379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 72788379840 in words is "seventy-two billion, seven hundred eighty-eight million, three hundred seventy-nine thousand, eight hundred forty".