11671272 has 48 divisors (see below), whose sum is σ = 31826340. Its totient is φ = 3863808.

The previous prime is 11671267. The next prime is 11671273. The reversal of 11671272 is 27217611.

It can be written as a sum of positive squares in 2 ways, for example, as 11655396 + 15876 = 3414^2 + 126^2 .

It is not an unprimeable number, because it can be changed into a prime (11671273) 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 11 ways as a sum of consecutive naturals, for example, 11988 + ... + 12924.

Almost surely, 2^11671272 is an apocalyptic number.

11671272 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 11671272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15913170).

11671272 is an abundant number, since it is smaller than the sum of its proper divisors (20155068).

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

11671272 is a wasteful number, since it uses less digits than its factorization.

11671272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1115 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 11671272 is about 3416.3243405742. The cubic root of 11671272 is about 226.8329095699.

Adding to 11671272 its reverse (27217611), we get a palindrome (38888883).

The spelling of 11671272 in words is "eleven million, six hundred seventy-one thousand, two hundred seventy-two".