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palindromic n.  and  practical n.

First numbers that belong to both sets:

1, 2, 4, 6, 8, 66, 88, 252, 272, 414, 464, 616, 666, 696, 828, 858, 868, 888, 2112, 2442, 2552, 2772, 2992, 4004, 4224, 4554, 4664, 4884, 6006, 6336, 6666, 6776, 6996, 8008, 8118, 8448, 8778, 8888, 20202, 20502, 21012, 21112, 21312, 21712, 21812, 21912, 23232, 23632, 24642, 25152, 25452, 25752, 26862, 27072, 27472, 27872, 27972, 28182, 28782, 29392, 29592, 29792, 40304, 40404, 40704, 41514, 41814, 42024, 42224, 42624, 42924, 43134, 43434, 44044, 44144, 44544, 44744, 45954, 46464, 46864, 48384, 48984, 60606, 61516, 63036, 63336, 63536, 63936, 64746, 65056, 65156, 65856, 66066, 67176, 67776, 68586, 69496, 69696, 69996, 80608, 80808, 81918, 82128, 82628, 82728, 83538, 84048, 84348, 84448, 85158, 86268, 86768, 86868, 87978, 88088, 88288, 88688, 88788, 89298, 201102, 204402, 210012, 212212, 213312, 215512, 216612, 219912, 222222, 225522, 231132, 232232, 234432, 238832, 239932, 246642, 249942, 252252, 255552, 257752, 258852, 259952, 270072, 272272, 273372, 276672, 279972, 282282, 292292, 294492, 297792, 299992, 401104, 402204, 404404, 405504, 407704, 408804, 409904, 414414, 420024, 423324, 424424, 426624, 428824, 432234, 438834, 441144, 443344, 444444, 445544, 447744, 456654, 459954, 462264, 464464, 468864, 471174, 474474, 477774, 484484, 485584, 487784, 489984, 603306, 606606, 612216, 616616, 618816, 630036, 631136, 635536, 636636, 639936, 642246, 648846, 650056, 652256, 654456, 656656, 657756, 660066, 663366, 666666, 671176, 672276, 675576, 676676, 678876, 687786, 690096, 693396, 696696, 698896, 801108, 802208, 804408, 807708, 808808, 819918, 821128, 825528, 828828, 831138, 834438, 840048, 842248, 846648, 848848, 849948, 852258, 855558, 858858, 861168, 864468, 867768, 868868, 873378, 876678, 879978, 880088, 882288, 884488, 886688, 888888, 891198, 897798, 2005002, 2013102, 2040402, 2062602, 2065602, 2070702, 2079702, 2087802, 2095902, 2098902, 2110112, 2111112, 2114112, 2122212, 2123212, 2128212, 2132312, 2133312, 2138312, 2141412, 2150512, 2151512, 2152512, 2154512, 2155512, 2157512, 2163612, 2174712, 2175712, 2177712, 2184812, 2185812, 2192912, 2193912.

Some larger examples :