4115712 has 72 divisors (see below), whose sum is σ = 11479104. Its totient is φ = 1306624.

The previous prime is 4115707. The next prime is 4115753. The reversal of 4115712 is 2175114.

It is a happy number.

It is an Ulam number.

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, 17548 + ... + 17780.

It is an arithmetic number, because the mean of its divisors is an integer number (159432).

Almost surely, 2^4115712 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 4115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739552).

4115712 is an abundant number, since it is smaller than the sum of its proper divisors (7363392).

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

4115712 is a wasteful number, since it uses less digits than its factorization.

4115712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its digits is 280, while the sum is 21.

The square root of 4115712 is about 2028.7217650531. The cubic root of 4115712 is about 160.2562560279.

It can be divided in two parts, 41 and 15712, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 4115712 in words is "four million, one hundred fifteen thousand, seven hundred twelve".