4115072 has 32 divisors (see below), whose sum is σ = 8832180. Its totient is φ = 1898496.

The previous prime is 4115053. The next prime is 4115087. The reversal of 4115072 is 2705114.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 18496 = 2024^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428 + ... + 2900.

Almost surely, 2^4115072 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 4115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416090).

4115072 is an abundant number, since it is smaller than the sum of its proper divisors (4717108).

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

4115072 is a wasteful number, since it uses less digits than its factorization.

4115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 4115072 is about 2028.5640241314. The cubic root of 4115072 is about 160.2479488933.

The spelling of 4115072 in words is "four million, one hundred fifteen thousand, seventy-two".