8168072 has 32 divisors (see below), whose sum is σ = 16891200. Its totient is φ = 3672000.

The previous prime is 8168071. The next prime is 8168089. The reversal of 8168072 is 2708618.

It is not an unprimeable number, because it can be changed into a prime (8168071) 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, 8429 + ... + 9347.

It is an arithmetic number, because the mean of its divisors is an integer number (527850).

Almost surely, 2^8168072 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 8168072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445600).

8168072 is an abundant number, since it is smaller than the sum of its proper divisors (8723128).

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

8168072 is a wasteful number, since it uses less digits than its factorization.

8168072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 8168072 is about 2857.9839047832. The cubic root of 8168072 is about 201.3909044995.

It can be divided in two parts, 816 and 8072, that added together give a palindrome (8888).

The spelling of 8168072 in words is "eight million, one hundred sixty-eight thousand, seventy-two".