72656249850 has 216 divisors, whose sum is σ = 218144681820. Its totient is φ = 17274885120.

The previous prime is 72656249849. The next prime is 72656249909. The reversal of 72656249850 is 5894265627.

72656249850 is a `hidden beast` number, since 7 + 2 + 6 + 5 + 624 + 9 + 8 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19390841001 + 53265408849 = 139251^2 + 230793^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2748496 + ... + 2774804.

Almost surely, 2^72656249850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72656249850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109072340910).

72656249850 is an abundant number, since it is smaller than the sum of its proper divisors (145488431970).

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

72656249850 is a wasteful number, since it uses less digits than its factorization.

72656249850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26382 (or 26355 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 72656249850 in words is "seventy-two billion, six hundred fifty-six million, two hundred forty-nine thousand, eight hundred fifty".