Let x=72 and y=17
55 + 17 = 72
Use formula
$(x-y)^{3}=x^{3} -y^{3}-3x^{2}y+ 3xy^{2} = x^{3} -y^{3}-3xy(y-x)$
$(72-17)^{3}=72^{3} -17^{3}-3*72*17(17-72)$
$55^{3}+17^{3} -72^{3}=3*72*17*55$
N is divisible by both 3 and 17.
Hence,option (4).Both 3 and 17.