I. We have 105= 3 x 5 x 7

Hence, 105 is the product of distinct prime number.

$D_{105}$ is a Boolean algebra.

$D_{105}$ = {1,3,5,7,15,21,35,105}

The Hasse diagram of $D_{105}$ is shown in the figure.

II.We have 72= 8 x 9

Hence, 72 is not the product of distinct prime number.

$D_{72}$={1,2,3,4,6,8,9,12,18,24,36,72}

The Hasse diagram of $D_{72}$ is shown in the figure.