72850010688 has 630 divisors, whose sum is σ = 272177814546. Its totient is φ = 19201867776.

The previous prime is 72850010663. The next prime is 72850010693. The reversal of 72850010688 is 88601005827.

72850010688 is a `hidden beast` number, since 72 + 8 + 500 + 10 + 68 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6261240384 + 66588770304 = 79128^2 + 258048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 42927856 + ... + 42929552.

Almost surely, 2^72850010688 is an apocalyptic number.

72850010688 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72850010688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136088907273).

72850010688 is an abundant number, since it is smaller than the sum of its proper divisors (199327803858).

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

72850010688 is a wasteful number, since it uses less digits than its factorization.

72850010688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 72850010688 in words is "seventy-two billion, eight hundred fifty million, ten thousand, six hundred eighty-eight".