11042272 has 48 divisors (see below), whose sum is σ = 22937040. Its totient is φ = 5225472.

The previous prime is 11042261. The next prime is 11042279. The reversal of 11042272 is 27224011.

It is a happy number.

11042272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67663 + ... + 67825.

It is an arithmetic number, because the mean of its divisors is an integer number (477855).

Almost surely, 2^11042272 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 11042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468520).

11042272 is an abundant number, since it is smaller than the sum of its proper divisors (11894768).

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

11042272 is a wasteful number, since it uses less digits than its factorization.

11042272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 11042272 is about 3322.9914234015. The cubic root of 11042272 is about 222.6825300151.

Adding to 11042272 its reverse (27224011), we get a palindrome (38266283).

The spelling of 11042272 in words is "eleven million, forty-two thousand, two hundred seventy-two".