11872128 has 64 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3859968.

The previous prime is 11872111. The next prime is 11872177. The reversal of 11872128 is 82127811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11872095 and 11872104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16153 + ... + 16871.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^11872128 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 11872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

11872128 is an abundant number, since it is smaller than the sum of its proper divisors (20441472).

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

11872128 is an equidigital number, since it uses as much as digits as its factorization.

11872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its digits is 1792, while the sum is 30.

The square root of 11872128 is about 3445.5954492656. The cubic root of 11872128 is about 228.1267377862.

Adding to 11872128 its reverse (82127811), we get a palindrome (93999939).

The spelling of 11872128 in words is "eleven million, eight hundred seventy-two thousand, one hundred twenty-eight".