729 is a centered octagonal number.
728 and 729 are consecutive Smith numbers, so they are known as Smith brothers.
729 is the smallest odd cube represented as the sum of two prime numbers: 729 = 2 + 727.
729 is a cube that is the sum of three cubes: 729 = 93 = 13 + 63 + 83.
729 = 272 = (1 + 2 + 2 + 2 + 4 + 4 + 4 + 8)2 = 13 + 23 + 23 + 23 + 43 + 43 + 43 + 83.
729 is 1331 in base 8 and 121 in base 26.
Source: Prime Curios!
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