72819028768 has 96 divisors (see below), whose sum is σ = 154939599360. Its totient is φ = 33609031680.

The previous prime is 72819028747. The next prime is 72819028781. The reversal of 72819028768 is 86782091827.

It is a super-2 number, since 2×72819028768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372496 + ... + 2402992.

It is an arithmetic number, because the mean of its divisors is an integer number (1613954160).

Almost surely, 2^72819028768 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 72819028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77469799680).

72819028768 is an abundant number, since it is smaller than the sum of its proper divisors (82120570592).

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

72819028768 is a wasteful number, since it uses less digits than its factorization.

72819028768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30650 (or 30642 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The spelling of 72819028768 in words is "seventy-two billion, eight hundred nineteen million, twenty-eight thousand, seven hundred sixty-eight".