72986305536 has 132 divisors (see below), whose sum is σ = 219909897792. Its totient is φ = 23270928384.

The previous prime is 72986305523. The next prime is 72986305541. The reversal of 72986305536 is 63550368927.

It is a happy number.

72986305536 is a `hidden beast` number, since 7 + 2 + 9 + 86 + 3 + 0 + 553 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39805 + ... + 384131.

Almost surely, 2^72986305536 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 72986305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109954948896).

72986305536 is an abundant number, since it is smaller than the sum of its proper divisors (146923592256).

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

72986305536 is a wasteful number, since it uses less digits than its factorization.

72986305536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344376 (or 344355 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 72986305536 in words is "seventy-two billion, nine hundred eighty-six million, three hundred five thousand, five hundred thirty-six".