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Number divisibility Puzzle – Divide by 27
Find a number consisting of 9 digits in which each of the digits from 1 to 9 appears only once. This number should satisfy the following requirements (rules): 
  1. The number should be divisible by 27.
  2. If the right-most digit is removed, the remaining number should be divisible by 6.
  3. If the two right-most digits are removed, the remaining number should be divisible by 19.
  4. If the three right-most digits are removed, the remaining number should be divisible by 27 again.
  5. If the four right-most digits are removed, the remaining number should be divisible by 74.
  6. If the five right-most digits are removed, the remaining number should be divisible by 27 and 2.
  7. If the six right-most digits are removed, the remaining number should be a prime number.
  8. If the seven right-most digits are removed, the remaining number should be divisible by 5.
  9. If the eight right-most digits are removed, the remaining number should be divisible by 2.
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Hint: Hint: If both numbers can be divided by 27 the difference of the two number can also be divided by 27.
Difficulty level = 2