11242272 has 48 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 3720960.

The previous prime is 11242261. The next prime is 11242279. The reversal of 11242272 is 27224211.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11242279) 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, 17053 + ... + 17699.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 2^11242272 is an apocalyptic number.

11242272 is a gapful number since it is divisible by the number (12) 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 11242272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

11242272 is an abundant number, since it is smaller than the sum of its proper divisors (18477600).

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

11242272 is a wasteful number, since it uses less digits than its factorization.

11242272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 11242272 is about 3352.9497461191. The cubic root of 11242272 is about 224.0189184702.

Adding to 11242272 its reverse (27224211), we get a palindrome (38466483).

The spelling of 11242272 in words is "eleven million, two hundred forty-two thousand, two hundred seventy-two".