72181747217 has 8 divisors (see below), whose sum is σ = 73245758400. Its totient is φ = 71119051920.

The previous prime is 72181747207. The next prime is 72181747247. The reversal of 72181747217 is 71274718127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72181747217 - 2⁴ = 72181747201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72181747207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218183 + ... + 438140.

It is an arithmetic number, because the mean of its divisors is an integer number (9155719800).

Almost surely, 2^72181747217 is an apocalyptic number.

It is an amenable number.

72181747217 is a deficient number, since it is larger than the sum of its proper divisors (1064011183).

72181747217 is a wasteful number, since it uses less digits than its factorization.

72181747217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657943.

The product of its digits is 307328, while the sum is 47.

The spelling of 72181747217 in words is "seventy-two billion, one hundred eighty-one million, seven hundred forty-seven thousand, two hundred seventeen".