4117072 has 40 divisors (see below), whose sum is σ = 8704800. Its totient is φ = 1878912.

The previous prime is 4117037. The next prime is 4117081. The reversal of 4117072 is 2707114.

4117072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8583 + ... + 9049.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 2^4117072 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 4117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352400).

4117072 is an abundant number, since it is smaller than the sum of its proper divisors (4587728).

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

4117072 is a wasteful number, since it uses less digits than its factorization.

4117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 4117072 is about 2029.0569237949. The cubic root of 4117072 is about 160.2739058299.

The spelling of 4117072 in words is "four million, one hundred seventeen thousand, seventy-two".