11140272 has 120 divisors (see below), whose sum is σ = 36695568. Its totient is φ = 3110400.

The previous prime is 11140267. The next prime is 11140273. The reversal of 11140272 is 27204111.

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

It is not an unprimeable number, because it can be changed into a prime (11140273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20322 + ... + 20862.

Almost surely, 2^11140272 is an apocalyptic number.

11140272 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 11140272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347784).

11140272 is an abundant number, since it is smaller than the sum of its proper divisors (25555296).

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

11140272 is a wasteful number, since it uses less digits than its factorization.

11140272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11140272 is about 3337.7046004702. The cubic root of 11140272 is about 223.3393587642.

Adding to 11140272 its reverse (27204111), we get a palindrome (38344383).

The spelling of 11140272 in words is "eleven million, one hundred forty thousand, two hundred seventy-two".