11772216 has 80 divisors (see below), whose sum is σ = 33933240. Its totient is φ = 3810240.

The previous prime is 11772209. The next prime is 11772221. The reversal of 11772216 is 61227711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11772216.

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 19 ways as a sum of consecutive naturals, for example, 23731 + ... + 24221.

Almost surely, 2^11772216 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 11772216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16966620).

11772216 is an abundant number, since it is smaller than the sum of its proper divisors (22161024).

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

11772216 is a wasteful number, since it uses less digits than its factorization.

11772216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 533 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 11772216 is about 3431.0663065584. The cubic root of 11772216 is about 227.4849871347.

Adding to 11772216 its reverse (61227711), we get a palindrome (72999927).

The spelling of 11772216 in words is "eleven million, seven hundred seventy-two thousand, two hundred sixteen".