11533272 has 16 divisors (see below), whose sum is σ = 28833240. Its totient is φ = 3844416.

The previous prime is 11533253. The next prime is 11533273. The reversal of 11533272 is 27233511.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 480553 = 11533272 / (1 + 1 + 5 + 3 + 3 + 2 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11533273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240253 + ... + 240300.

Almost surely, 2^11533272 is an apocalyptic number.

11533272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11533272 is an abundant number, since it is smaller than the sum of its proper divisors (17299968).

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

11533272 is a wasteful number, since it uses less digits than its factorization.

11533272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480562 (or 480558 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 11533272 is about 3396.0671371456. The cubic root of 11533272 is about 225.9353457992.

Adding to 11533272 its reverse (27233511), we get a palindrome (38766783).

The spelling of 11533272 in words is "eleven million, five hundred thirty-three thousand, two hundred seventy-two".