11772144 has 60 divisors (see below), whose sum is σ = 34093800. Its totient is φ = 3787392.

The previous prime is 11772133. The next prime is 11772161. The reversal of 11772144 is 44127711.

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 11 ways as a sum of consecutive naturals, for example, 2767 + ... + 5585.

It is an arithmetic number, because the mean of its divisors is an integer number (568230).

Almost surely, 2^11772144 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 11772144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17046900).

11772144 is an abundant number, since it is smaller than the sum of its proper divisors (22321656).

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

11772144 is a wasteful number, since it uses less digits than its factorization.

11772144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2853 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 11772144 is about 3431.0558141773. The cubic root of 11772144 is about 227.4845233605.

Adding to 11772144 its reverse (44127711), we get a palindrome (55899855).

It can be divided in two parts, 1177 and 2144, that added together give a triangular number (3321 = T₈₁).

The spelling of 11772144 in words is "eleven million, seven hundred seventy-two thousand, one hundred forty-four".