72811509624 has 144 divisors (see below), whose sum is σ = 229539510720. Its totient is φ = 20790040320.

The previous prime is 72811509599. The next prime is 72811509707. The reversal of 72811509624 is 42690511827.

72811509624 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 15 + 0 + 9 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72811509624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6425884 + ... + 6437204.

It is an arithmetic number, because the mean of its divisors is an integer number (1594024380).

Almost surely, 2^72811509624 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 72811509624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114769755360).

72811509624 is an abundant number, since it is smaller than the sum of its proper divisors (156728001096).

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

72811509624 is a wasteful number, since it uses less digits than its factorization.

72811509624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13170 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 72811509624 in words is "seventy-two billion, eight hundred eleven million, five hundred nine thousand, six hundred twenty-four".