8117071872 has 624 divisors, whose sum is σ = 29178569952. Its totient is φ = 1981808640.

The previous prime is 8117071867. The next prime is 8117071873. The reversal of 8117071872 is 2781707118.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8117071873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133066722 + ... + 133066782.

Almost surely, 2^8117071872 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 8117071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14589284976).

8117071872 is an abundant number, since it is smaller than the sum of its proper divisors (21061498080).

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

8117071872 is a wasteful number, since it uses less digits than its factorization.

8117071872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 42.

The square root of 8117071872 is about 90094.7938118513. The cubic root of 8117071872 is about 2009.7087828384.

The spelling of 8117071872 in words is "eight billion, one hundred seventeen million, seventy-one thousand, eight hundred seventy-two".