11172224 has 64 divisors (see below), whose sum is σ = 26201760. Its totient is φ = 4644864.

The previous prime is 11172199. The next prime is 11172233. The reversal of 11172224 is 42227111.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11172196 and 11172205.

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, 32984 + ... + 33320.

Almost surely, 2^11172224 is an apocalyptic number.

11172224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100880).

11172224 is an abundant number, since it is smaller than the sum of its proper divisors (15029536).

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

11172224 is an equidigital number, since it uses as much as digits as its factorization.

11172224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its digits is 224, while the sum is 20.

The square root of 11172224 is about 3342.4876963124. The cubic root of 11172224 is about 223.5526787361.

Adding to 11172224 its reverse (42227111), we get a palindrome (53399335).

The spelling of 11172224 in words is "eleven million, one hundred seventy-two thousand, two hundred twenty-four".