New Year Cryptogram

Logic

$\large{\begin{array}{ccccccc} && & & & N & E&W & 1&7\\ +&& & & & N & E&W & 1&8\\ \hline && & & 1& 5 &7&2 &3 & 5\\ \hline \end{array}}$

The above shows a cryptogram, with each letter representing a distinct single digit non-negative integer with $N,E,W > 0$

What is N + E + W ?