11131872 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3299328.

The previous prime is 11131859. The next prime is 11131873. The reversal of 11131872 is 27813111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30829 + ... + 31187.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^11131872 is an apocalyptic number.

11131872 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 11131872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

11131872 is an abundant number, since it is smaller than the sum of its proper divisors (21527328).

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

11131872 is a wasteful number, since it uses less digits than its factorization.

11131872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 11131872 is about 3336.4460133501. The cubic root of 11131872 is about 223.2832104542.

Adding to 11131872 its reverse (27813111), we get a palindrome (38944983).

The spelling of 11131872 in words is "eleven million, one hundred thirty-one thousand, eight hundred seventy-two".