11791872 has 80 divisors (see below), whose sum is σ = 34945680. Its totient is φ = 3926016.

The previous prime is 11791867. The next prime is 11791883. The reversal of 11791872 is 27819711.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13398 + ... + 14250.

It is an arithmetic number, because the mean of its divisors is an integer number (436821).

Almost surely, 2^11791872 is an apocalyptic number.

11791872 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 11791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472840).

11791872 is an abundant number, since it is smaller than the sum of its proper divisors (23153808).

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

11791872 is an frugal number, since it uses more digits than its factorization.

11791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 858 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 11791872 is about 3433.9295275238. The cubic root of 11791872 is about 227.6115268495.

The spelling of 11791872 in words is "eleven million, seven hundred ninety-one thousand, eight hundred seventy-two".