11675872 has 72 divisors (see below), whose sum is σ = 26562816. Its totient is φ = 5031936.

The previous prime is 11675849. The next prime is 11675887. The reversal of 11675872 is 27857611.

It is a congruent number.

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, 91873 + ... + 91999.

It is an arithmetic number, because the mean of its divisors is an integer number (368928).

Almost surely, 2^11675872 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 11675872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281408).

11675872 is an abundant number, since it is smaller than the sum of its proper divisors (14886944).

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

11675872 is a wasteful number, since it uses less digits than its factorization.

11675872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its digits is 23520, while the sum is 37.

The square root of 11675872 is about 3416.9975124369. The cubic root of 11675872 is about 226.8627062174.

The spelling of 11675872 in words is "eleven million, six hundred seventy-five thousand, eight hundred seventy-two".