72760985856 has 360 divisors, whose sum is σ = 241214107904. Its totient is φ = 21663313920.

The previous prime is 72760985837. The next prime is 72760985873. The reversal of 72760985856 is 65858906727.

It is a super-2 number, since 2×72760985856² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72760985793 and 72760985802.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8352255 + ... + 8360961.

Almost surely, 2^72760985856 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 72760985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120607053952).

72760985856 is an abundant number, since it is smaller than the sum of its proper divisors (168453122048).

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

72760985856 is a wasteful number, since it uses less digits than its factorization.

72760985856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8779 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 72760985856 in words is "seventy-two billion, seven hundred sixty million, nine hundred eighty-five thousand, eight hundred fifty-six".