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 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 cube

Rare Properties of 729

Cube
Square

Common Properties of 729

Composite
Deficient
Evil
Lucky
Odd
Powerful
Smith (Joke)