11135872 has 48 divisors (see below), whose sum is σ = 24418800. Its totient is φ = 5054720.

The previous prime is 11135863. The next prime is 11135879. The reversal of 11135872 is 27853111.

It is a self number, because there is not a number n which added to its sum of digits gives 11135872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11135879) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15129 + ... + 15847.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 2^11135872 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 11135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209400).

11135872 is an abundant number, since it is smaller than the sum of its proper divisors (13282928).

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

11135872 is an equidigital number, since it uses as much as digits as its factorization.

11135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 732 counting only the distinct ones).

The product of its digits is 1680, while the sum is 28.

The square root of 11135872 is about 3337.0453997511. The cubic root of 11135872 is about 223.3099512661.

Adding to 11135872 its reverse (27853111), we get a palindrome (38988983).

The spelling of 11135872 in words is "eleven million, one hundred thirty-five thousand, eight hundred seventy-two".