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Achilles n.  and  wasteful n.

First numbers that belong to both sets:

72, 108, 200, 288, 392, 432, 500, 648, 675, 800, 864, 968, 972, 1352, 1800, 2312, 2700, 2888, 3267, 3528, 3872, 4232, 4500, 4563, 5292, 5324, 5400, 5408, 6728, 7200, 7688, 7803, 8712, 8788, 9000, 9248, 9747, 9800, 10584, 10800, 12168, 12348, 13068, 13500, 14112, 16200, 18000, 18252, 20808, 21168, 21600, 24200, 24300, 24500, 24696, 25992, 26136, 28800, 31212, 31752, 33075, 33800, 34300, 34848, 36000, 36504, 37044, 38088, 38988, 39200, 40500, 42336, 43200, 45000, 47432, 47628, 47916, 48600, 48672, 49000, 49392, 52272, 54000, 55125, 56448, 57132, 57800, 60500, 60552, 62424, 64800, 66248, 67500, 68600, 69192, 72000, 72200, 73008, 77175, 77976, 78408, 79092, 81000, 81608, 81675, 83232, 84500, 84672, 84872, 86400, 88200, 90828, 91592, 95048, 95256, 95832, 96800, 97200, 98000, 98568, 98784, 103788, 103968, 104544, 105800, 109512, 113288, 114075, 114264, 117612, 121000, 121032, 124848, 132300, 133100, 133128, 135200, 136125, 139392, 141512, 143748, 144500, 146016, 147852, 152352, 155952, 158184, 159048, 160083, 163592, 164268, 166012, 168200, 169000, 176868, 180500, 181548, 181656, 187272, 189728, 190125, 191664, 192200, 194688, 195075, 199692, 202248, 207368, 207576, 209088, 217800, 219700, 220500, 223587, 228528, 231200, 231868, 233928, 235224, 237276, 238572, 242000, 242208, 243675, 246924, 249696, 250632, 260876, 264500, 264600, 264992, 266200, 267912, 273800, 276768, 279752, 280908, 288800, 289000, 292032, 295704, 299475, 303372, 304200, 308700, 311904, 313632, 316368, 323208, 325125, 326700, 328536, 329672, 332024, 332928, 336200, 338000, 342792, 349448, 350892, 352800, 353736, 357075, 361000, 362952, 363096, 363312, 369800, 373527, 375948, 376712, 382347, 383328, 383688, 387200, 390728, 394272, 396508, 399384, 401868, 406125, 408375, 415152, 415872, 418176, 420500, 423200, 426888, 430612, 431244, 438012, 438048, 439400, 441000, 441800, 449352, 453152, 456300, 457056, 460800, 463736, 470448, 477144, 477603, 480500, 484000, 484128, 484812, 488072, 491300, 493848, 494325, 495292, 496008, 499392, 512072, 514188, 520200, 521703, 521752.

Some larger examples :