72811773504 has 252 divisors, whose sum is σ = 220465954800. Its totient is φ = 23851107072.

The previous prime is 72811773493. The next prime is 72811773521. The reversal of 72811773504 is 40537711827.

72811773504 is a `hidden beast` number, since 7 + 28 + 117 + 7 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72811773504.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24772867 + ... + 24775805.

It is an arithmetic number, because the mean of its divisors is an integer number (874864900).

Almost surely, 2^72811773504 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 72811773504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110232977400).

72811773504 is an abundant number, since it is smaller than the sum of its proper divisors (147654181296).

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

72811773504 is an frugal number, since it uses more digits than its factorization.

72811773504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 72811773504 in words is "seventy-two billion, eight hundred eleven million, seven hundred seventy-three thousand, five hundred four".