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Achilles n.  and  evil n.

First numbers that belong to both sets:

72, 108, 288, 432, 500, 864, 972, 1152, 1323, 1352, 1372, 1800, 1944, 2000, 3087, 3267, 3456, 3528, 3888, 4000, 4608, 5292, 5324, 5408, 5488, 6075, 6125, 6912, 7200, 7803, 9747, 10125, 10584, 10952, 10976, 12348, 12500, 13068, 13500, 14112, 14283, 15125, 15552, 16000, 16200, 16875, 17672, 18432, 19652, 21125, 21168, 21296, 21632, 22472, 22707, 23328, 24300, 24500, 24696, 25000, 25992, 26136, 27436, 27648, 27783, 28800, 29403, 29768, 30375, 31104, 31212, 31752, 32000, 33075, 36125, 36963, 37044, 38088, 38988, 40500, 41503, 42336, 42592, 42632, 43808, 43904, 45125, 45387, 48600, 49000, 49392, 49923, 50000, 52272, 52488, 54000, 55112, 55125, 55296, 56448, 57132, 57967, 60500, 61731, 62208, 62424, 64800, 64827, 66125, 67500, 69192, 70688, 73728, 75843, 77976, 78408, 78608, 78732, 81000, 81675, 83349, 84500, 84672, 86528, 87723, 87808, 88200, 89888, 90828, 91592, 93312, 93987, 95048, 97200, 98000, 98568, 98784, 100467, 103968, 104544, 105800, 107811, 108000, 109744, 111132, 113288, 114075, 114264, 115200, 117612, 119072, 119164, 121000, 121032, 121500, 122825, 123823, 124416, 124848, 127008, 128000, 128547, 132300, 135000, 136125, 141512, 143748, 144500, 147852, 148176, 150152, 151263, 152352, 153125, 155952, 157216, 159048, 162000, 165375, 166012, 169000, 169344, 170368, 170528, 171125, 175232, 177957, 180500, 181548, 181656, 182408, 186003, 192200, 194400, 196000, 197568, 199692, 200000, 202248, 202612, 204363, 207368, 209088, 209952, 210125, 213867, 214375, 217800, 219488, 220448, 220500, 221184, 222264, 223587, 224939, 225792, 228528, 231125, 231525, 231868, 233523, 233928, 235224, 237276, 242000, 243000, 243675, 246924, 249696, 250632, 254043, 256000, 259200, 259308, 264500, 264600, 264627, 267912, 268119, 270000, 273375, 275427, 275684, 276125, 276768, 279752, 282752, 286443, 289000, 291848, 294912, 295704, 296352, 303372, 304200, 309123, 311904, 312500, 313632, 314928, 316808, 323433, 324000, 326700, 329623, 329672, 332024, 333396, 336200, 338000, 338688, 340736, 342792, 344763, 346112, 350892, 351232, 352800, 356168, 359552.

Some larger examples :