11305272 has 96 divisors (see below), whose sum is σ = 33037200. Its totient is φ = 3210240.

The previous prime is 11305267. The next prime is 11305303. The reversal of 11305272 is 27250311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49254 + ... + 49482.

Almost surely, 2^11305272 is an apocalyptic number.

11305272 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 11305272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518600).

11305272 is an abundant number, since it is smaller than the sum of its proper divisors (21731928).

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

11305272 is a wasteful number, since it uses less digits than its factorization.

11305272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 11305272 is about 3362.3313340597. The cubic root of 11305272 is about 224.4365953389.

Adding to 11305272 its reverse (27250311), we get a palindrome (38555583).

The spelling of 11305272 in words is "eleven million, three hundred five thousand, two hundred seventy-two".