11672172 has 36 divisors (see below), whose sum is σ = 29844360. Its totient is φ = 3845952.

The previous prime is 11672159. The next prime is 11672173. The reversal of 11672172 is 27127611.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11672173) 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, 1383 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (829010).

Almost surely, 2^11672172 is an apocalyptic number.

11672172 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 11672172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922180).

11672172 is an abundant number, since it is smaller than the sum of its proper divisors (18172188).

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

11672172 is a wasteful number, since it uses less digits than its factorization.

11672172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3737 counting only the distinct ones).

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

The square root of 11672172 is about 3416.4560585496. The cubic root of 11672172 is about 226.8387399647.

Adding to 11672172 its reverse (27127611), we get a palindrome (38799783).

The spelling of 11672172 in words is "eleven million, six hundred seventy-two thousand, one hundred seventy-two".