Since entrepreneur is a word related with business and making money repeatedly, the way I used to remember it is as follows :
ENTering REPeated RENewal of EURos
The capitalized letters will form the word 'ENTREPRENEUR'.
Note that you only have to join the first 3 letters of each of the keywords. To remember this you've to associate the number 3 with the word Entrepreneur. Here is small trick for that too:
The alphabet 'E' will look like 3 if flipped to the other side.
Note: Euro, is a currency standard
Here is an easy trick to remember the pronunciaiton of entrepreneur.
To pronounce entrepreneurship correctly remember that the word has a 'ship', so remembering 'on the ship' will pronounce the word right as on-trepreneurship and not enter-preneurship.