4107872 has 48 divisors (see below), whose sum is σ = 8636544. Its totient is φ = 1920000.

The previous prime is 4107839. The next prime is 4107877. The reversal of 4107872 is 2787014.

It is a super-2 number, since 2×4107872² = 33749224736768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4107877) 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, 40622 + ... + 40722.

It is an arithmetic number, because the mean of its divisors is an integer number (179928).

Almost surely, 2^4107872 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 4107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272).

4107872 is an abundant number, since it is smaller than the sum of its proper divisors (4528672).

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

4107872 is a wasteful number, since it uses less digits than its factorization.

4107872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 4107872 is about 2026.7885928236. The cubic root of 4107872 is about 160.1544342233.

The spelling of 4107872 in words is "four million, one hundred seven thousand, eight hundred seventy-two".