8272871567 has 16 divisors (see below), whose sum is σ = 8786534400. Its totient is φ = 7767174240.

The previous prime is 8272871561. The next prime is 8272871569. The reversal of 8272871567 is 7651782728.

It is a cyclic number.

It is not a de Polignac number, because 8272871567 - 2²⁶ = 8205762703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272871561) 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, 3644909 + ... + 3647177.

It is an arithmetic number, because the mean of its divisors is an integer number (549158400).

Almost surely, 2^8272871567 is an apocalyptic number.

8272871567 is a deficient number, since it is larger than the sum of its proper divisors (513662833).

8272871567 is a wasteful number, since it uses less digits than its factorization.

8272871567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926.

The product of its digits is 2634240, while the sum is 53.

The square root of 8272871567 is about 90955.3273151166. The cubic root of 8272871567 is about 2022.4855498822.

The spelling of 8272871567 in words is "eight billion, two hundred seventy-two million, eight hundred seventy-one thousand, five hundred sixty-seven".