11517272 has 32 divisors (see below), whose sum is σ = 23662800. Its totient is φ = 5222784.

The previous prime is 11517257. The next prime is 11517293. The reversal of 11517272 is 27271511.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 5198 + ... + 7074.

Almost surely, 2^11517272 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 11517272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831400).

11517272 is an abundant number, since it is smaller than the sum of its proper divisors (12145528).

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

11517272 is a wasteful number, since it uses less digits than its factorization.

11517272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1951 counting only the distinct ones).

The product of its digits is 980, while the sum is 26.

The square root of 11517272 is about 3393.7106535472. The cubic root of 11517272 is about 225.8308181193.

Adding to 11517272 its reverse (27271511), we get a palindrome (38788783).

The spelling of 11517272 in words is "eleven million, five hundred seventeen thousand, two hundred seventy-two".