11671872 has 112 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 3594240.

The previous prime is 11671861. The next prime is 11671889. The reversal of 11671872 is 27817611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220198 + ... + 220250.

Almost surely, 2^11671872 is an apocalyptic number.

11671872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).

11671872 is an abundant number, since it is smaller than the sum of its proper divisors (21685440).

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

11671872 is a wasteful number, since it uses less digits than its factorization.

11671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 11671872 is about 3416.4121531220. The cubic root of 11671872 is about 226.8367965331.

The spelling of 11671872 in words is "eleven million, six hundred seventy-one thousand, eight hundred seventy-two".