8273167872 has 160 divisors (see below), whose sum is σ = 23334220800. Its totient is φ = 2597511168.

The previous prime is 8273167867. The next prime is 8273167897. The reversal of 8273167872 is 2787613728.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5748529 + ... + 5749967.

It is an arithmetic number, because the mean of its divisors is an integer number (145838880).

Almost surely, 2^8273167872 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 8273167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11667110400).

8273167872 is an abundant number, since it is smaller than the sum of its proper divisors (15061052928).

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

8273167872 is a wasteful number, since it uses less digits than its factorization.

8273167872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1660 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 51.

The square root of 8273167872 is about 90956.9561495986. The cubic root of 8273167872 is about 2022.5096956870.

The spelling of 8273167872 in words is "eight billion, two hundred seventy-three million, one hundred sixty-seven thousand, eight hundred seventy-two".