Number Gossip

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Unique Properties of 729

  • 729 is the largest 3-digit number in which the sum of digits is equal to the sum of prime factors
  • Consecutive Smith numbers are called Smith brothers: 729 is the larger brother of the smallest pair of Smith brothers
  • 729 is the smallest square with initial digit 7, while 7 is the last digit to appear as the first digit of a square
  • 729 is the smallest square having last digit equal to the sum of the other digits
  • 729 is the smallest cube k, such that k-1 is divisible by a non-trivial cube
  • 729 is the smallest cube that is the concatenation of three numbers, one of which is the sum of the other two
  • 729 is the smallest cube that is two plus a prime
  • 729 is the only three-digit sixth power

Rare Properties of 729

Cube
Square

Common Properties of 729

Composite
Deficient
Evil
Lucky
Odd
Powerful
Smith (Joke)