72007505700 has 144 divisors (see below), whose sum is σ = 224490215040. Its totient is φ = 17715271680.

The previous prime is 72007505671. The next prime is 72007505719. The reversal of 72007505700 is 750570027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9422481 + ... + 9430119.

Almost surely, 2^72007505700 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 72007505700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112245107520).

72007505700 is an abundant number, since it is smaller than the sum of its proper divisors (152482709340).

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

72007505700 is a wasteful number, since it uses less digits than its factorization.

72007505700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 33.

The spelling of 72007505700 in words is "seventy-two billion, seven million, five hundred five thousand, seven hundred".