72587665600 has 252 divisors, whose sum is σ = 189667652160. Its totient is φ = 27313459200.

The previous prime is 72587665597. The next prime is 72587665613. The reversal of 72587665600 is 656678527.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67901866 + ... + 67902934.

Almost surely, 2^72587665600 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 72587665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94833826080).

72587665600 is an abundant number, since it is smaller than the sum of its proper divisors (117079986560).

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

72587665600 is a wasteful number, since it uses less digits than its factorization.

72587665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 72587665600 in words is "seventy-two billion, five hundred eighty-seven million, six hundred sixty-five thousand, six hundred".