72942782808 has 128 divisors (see below), whose sum is σ = 219490214400. Its totient is φ = 19733704704.

The previous prime is 72942782743. The next prime is 72942782821. The reversal of 72942782808 is 80828724927.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7774216 + ... + 7783592.

It is an arithmetic number, because the mean of its divisors is an integer number (1714767300).

Almost surely, 2^72942782808 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 72942782808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109745107200).

72942782808 is an abundant number, since it is smaller than the sum of its proper divisors (146547431592).

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

72942782808 is a wasteful number, since it uses less digits than its factorization.

72942782808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849 (or 11845 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 72942782808 in words is "seventy-two billion, nine hundred forty-two million, seven hundred eighty-two thousand, eight hundred eight".