11230272 has 112 divisors (see below), whose sum is σ = 33853120. Its totient is φ = 3649536.

The previous prime is 11230243. The next prime is 11230309. The reversal of 11230272 is 27203211.

It is a super-2 number, since 2×11230272² = 252238018387968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115728 + ... + 115824.

It is an arithmetic number, because the mean of its divisors is an integer number (302260).

Almost surely, 2^11230272 is an apocalyptic number.

11230272 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 11230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926560).

11230272 is an abundant number, since it is smaller than the sum of its proper divisors (22622848).

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

11230272 is an equidigital number, since it uses as much as digits as its factorization.

11230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11230272 is about 3351.1597992337. The cubic root of 11230272 is about 223.9391841703.

Adding to 11230272 its reverse (27203211), we get a palindrome (38433483).

The spelling of 11230272 in words is "eleven million, two hundred thirty thousand, two hundred seventy-two".