My babies umbilical cord fell off today (baby is 1 Week Old). Do I put anything on it to help it heal faster?? The belly button is also outie.

Not necessarily. The umbilical stump is made to fall off - after it does there is often very little needed to facilitate it completing its healing. You can use a small drop of liquid soap (not antibacterial) to aid in the remainder drying out - but if you do nothing it will likely be just fine! If it is not healed by the 2 week visit - your provider will take care of the rest.