8170272 has 72 divisors (see below), whose sum is σ = 25356240. Its totient is φ = 2474880.

The previous prime is 8170243. The next prime is 8170297. The reversal of 8170272 is 2720718.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1879 + ... + 4457.

It is an arithmetic number, because the mean of its divisors is an integer number (352170).

Almost surely, 2^8170272 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 8170272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678120).

8170272 is an abundant number, since it is smaller than the sum of its proper divisors (17185968).

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

8170272 is a wasteful number, since it uses less digits than its factorization.

8170272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 8170272 is about 2858.3687655724. The cubic root of 8170272 is about 201.4089838462.

The spelling of 8170272 in words is "eight million, one hundred seventy thousand, two hundred seventy-two".