First numbers that belong to both sets:
375,
1029,
1215,
2187,
3993,
4374,
6591,
8232,
14739,
15309,
20577,
27783,
31944,
36501,
38880,
73167,
84035,
89373,
128625,
151959,
164616,
177957,
206763,
222264,
238521,
273375,
292008,
311469,
397953,
421824,
446631,
499125,
526848,
546875,
555579,
616137,
680943,
714984,
750141,
805255,
823875,
902289,
985527,
1029000,
1073733,
1119744,
1167051,
1369599,
1479117,
1536000,
1715361,
1842375,
1856465,
1908168,
1948617,
1959552,
1975509,
2114907,
2260713,
2491752,
2572125,
2689120,
2738019,
2910897,
3090903,
3278181,
3374592,
3472875,
3675129,
3885087,
3993000,
4102893,
4328691,
4562625,
4804839,
4929096,
5055477,
5242880,
5764801,
6001128,
6145149,
6440067,
6744273,
7057911,
7099285,
7218312,
7546368,
7714059,
7884216,
8056857,
8409663,
8589864,
8772621,
9145875,
9923847.