72147757201 has 16 divisors (see below), whose sum is σ = 81860990400. Its totient is φ = 63035644608.

The previous prime is 72147757181. The next prime is 72147757229. The reversal of 72147757201 is 10275774127.

It is a cyclic number.

It is not a de Polignac number, because 72147757201 - 2³³ = 63557822609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72147757301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142230 + ... + 405616.

It is an arithmetic number, because the mean of its divisors is an integer number (5116311900).

Almost surely, 2^72147757201 is an apocalyptic number.

It is an amenable number.

72147757201 is a deficient number, since it is larger than the sum of its proper divisors (9713233199).

72147757201 is a wasteful number, since it uses less digits than its factorization.

72147757201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264528.

The product of its (nonzero) digits is 192080, while the sum is 43.

The spelling of 72147757201 in words is "seventy-two billion, one hundred forty-seven million, seven hundred fifty-seven thousand, two hundred one".