4117672 has 48 divisors (see below), whose sum is σ = 8896860. Its totient is φ = 1775616.

The previous prime is 4117657. The next prime is 4117691. The reversal of 4117672 is 2767114.

It can be written as a sum of positive squares in 6 ways, for example, as 2643876 + 1473796 = 1626^2 + 1214^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4117672.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29988 + ... + 30124.

Almost surely, 2^4117672 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 4117672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448430).

4117672 is an abundant number, since it is smaller than the sum of its proper divisors (4779188).

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

4117672 is a wasteful number, since it uses less digits than its factorization.

4117672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 4117672 is about 2029.2047703472. The cubic root of 4117672 is about 160.2816912716.

The spelling of 4117672 in words is "four million, one hundred seventeen thousand, six hundred seventy-two".