11456172 has 108 divisors (see below), whose sum is σ = 35970480. Its totient is φ = 3010176.

The previous prime is 11456153. The next prime is 11456173. The reversal of 11456172 is 27165411.

It is a happy number.

11456172 is a `hidden beast` number, since 1 + 1 + 45 + 617 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11456173) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42454 + ... + 42722.

It is an arithmetic number, because the mean of its divisors is an integer number (333060).

Almost surely, 2^11456172 is an apocalyptic number.

11456172 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 11456172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985240).

11456172 is an abundant number, since it is smaller than the sum of its proper divisors (24514308).

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

11456172 is a wasteful number, since it uses less digits than its factorization.

11456172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 11456172 is about 3384.6967367846. The cubic root of 11456172 is about 225.4307599738.

It can be divided in two parts, 11456 and 172, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11456172 in words is "eleven million, four hundred fifty-six thousand, one hundred seventy-two".