11138272 has 24 divisors (see below), whose sum is σ = 22140216. Its totient is φ = 5515392.

The previous prime is 11138263. The next prime is 11138273. The reversal of 11138272 is 27283111.

It is a happy number.

11138272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11138272² = 248122206291968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1798 + ... + 5050.

It is an arithmetic number, because the mean of its divisors is an integer number (922509).

Almost surely, 2^11138272 is an apocalyptic number.

It is an amenable number.

11138272 is a deficient number, since it is larger than the sum of its proper divisors (11001944).

11138272 is a wasteful number, since it uses less digits than its factorization.

11138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3362 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 11138272 is about 3337.4049799208. The cubic root of 11138272 is about 223.3259926797.

It can be divided in two parts, 111 and 38272, that added together give a palindrome (38383).

The spelling of 11138272 in words is "eleven million, one hundred thirty-eight thousand, two hundred seventy-two".