72843764688 has 120 divisors (see below), whose sum is σ = 214724590080. Its totient is φ = 22988966400.

The previous prime is 72843764683. The next prime is 72843764699. The reversal of 72843764688 is 88646734827.

72843764688 is a `hidden beast` number, since 72 + 84 + 376 + 46 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72843764683) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4920145 + ... + 4934927.

It is an arithmetic number, because the mean of its divisors is an integer number (1789371584).

Almost surely, 2^72843764688 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 72843764688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107362295040).

72843764688 is an abundant number, since it is smaller than the sum of its proper divisors (141880825392).

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

72843764688 is a wasteful number, since it uses less digits than its factorization.

72843764688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16617 (or 16608 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 72843764688 in words is "seventy-two billion, eight hundred forty-three million, seven hundred sixty-four thousand, six hundred eighty-eight".