Numbers divisible by the sum and product of their digits
05AB1E, 13 12 bytes

Thanks to Emigna for saving a byte!

µNNSONSP‚ÖP½


Explanation:

µ          ½   # Get the nth number for which the following holds:
  NSO          #   The sum of digits of the current number
     NSP       #   And the products of digits of the current number
 N      ‚ÖP    #   Divides the current number
               # If the nth number has been reached, quit and implicitly print N


Uses the CP-1252 encoding. Try it online!