11530272 has 48 divisors (see below), whose sum is σ = 32598720. Its totient is φ = 3547392.

The previous prime is 11530271. The next prime is 11530279. The reversal of 11530272 is 27203511.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11530271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3372 + ... + 5867.

It is an arithmetic number, because the mean of its divisors is an integer number (679140).

Almost surely, 2^11530272 is an apocalyptic number.

11530272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11530272 is an abundant number, since it is smaller than the sum of its proper divisors (21068448).

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

11530272 is a wasteful number, since it uses less digits than its factorization.

11530272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265 (or 9257 counting only the distinct ones).

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

The square root of 11530272 is about 3395.6254210381. The cubic root of 11530272 is about 225.9157542263.

Adding to 11530272 its reverse (27203511), we get a palindrome (38733783).

The spelling of 11530272 in words is "eleven million, five hundred thirty thousand, two hundred seventy-two".