11107872 has 36 divisors (see below), whose sum is σ = 31588830. Its totient is φ = 3702528.

The previous prime is 11107867. The next prime is 11107891. The reversal of 11107872 is 27870111.

It can be written as a sum of positive squares in only one way, i.e., 8785296 + 2322576 = 2964^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 18997 + ... + 19572.

Almost surely, 2^11107872 is an apocalyptic number.

11107872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11107872 is an abundant number, since it is smaller than the sum of its proper divisors (20480958).

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

11107872 is a wasteful number, since it uses less digits than its factorization.

11107872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38585 (or 38574 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 11107872 is about 3332.8474312515. The cubic root of 11107872 is about 223.1226309096.

Adding to 11107872 its reverse (27870111), we get a palindrome (38977983).

The spelling of 11107872 in words is "eleven million, one hundred seven thousand, eight hundred seventy-two".