4165872 has 40 divisors (see below), whose sum is σ = 10951680. Its totient is φ = 1364160.

The previous prime is 4165849. The next prime is 4165927. The reversal of 4165872 is 2785614.

4165872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2097 + ... + 3567.

It is an arithmetic number, because the mean of its divisors is an integer number (273792).

Almost surely, 2^4165872 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 4165872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475840).

4165872 is an abundant number, since it is smaller than the sum of its proper divisors (6785808).

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

4165872 is a wasteful number, since it uses less digits than its factorization.

4165872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1535 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 4165872 is about 2041.0467902525. The cubic root of 4165872 is about 160.9046668874.

The spelling of 4165872 in words is "four million, one hundred sixty-five thousand, eight hundred seventy-two".