11217472 has 70 divisors (see below), whose sum is σ = 26323798. Its totient is φ = 4741632.

The previous prime is 11217463. The next prime is 11217523. The reversal of 11217472 is 27471211.

It can be written as a sum of positive squares in only one way, i.e., 9834496 + 1382976 = 3136^2 + 1176^2 .

It is a super-4 number, since 4×11217472⁴ (a number of 29 digits) contains 4444 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153628 + ... + 153700.

Almost surely, 2^11217472 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 11217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161899).

11217472 is an abundant number, since it is smaller than the sum of its proper divisors (15106326).

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

11217472 is an frugal number, since it uses more digits than its factorization.

11217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its digits is 784, while the sum is 25.

The square root of 11217472 is about 3349.2494681645. The cubic root of 11217472 is about 223.8540716199.

Adding to 11217472 its reverse (27471211), we get a palindrome (38688683).

The spelling of 11217472 in words is "eleven million, two hundred seventeen thousand, four hundred seventy-two".