About the Number 72 (Seventy-Two)

Let's see what we can say about the number 72...

   72 is an even, whole, natural, integer number
   72 proper divisors are: 1,2,3,4,6,8,9,12,18,24,36
   72 is abundant (sum of divisors is 123)
   72 is unhappy
   72 is a Harshad number
   72 is undulating
   72 is not prime
   72 has the prime factors: 2*2*2*3*3
   72 in octal (base-8) is 0110
   72 in hexadecimal (base-16) is 0x48
   72 in binary (base-2) is 1001000 (is evil)
   728 is 58
   7216 is 114
   72 in Roman numeral is LXXII
   72 nearest square numbers: -8...9 (64...81 [9])
   72 split into squares sum is { 36, 36 }
   sqrt(72) = 8.48528
   ln(72) = 4.27667
   log(72) = 1.85733

   observe...
      72 = 2 * 36 = 2 * 62 = 2 * (2 * 3)2 =
           2 * 2 * 3 * 2 * 3 = 23 * 32 = 8 * 9

From the Wikipedia we learn that the number 72 is the sum of six consecutive prime numbers: 5 + 7 + 11 + 13 + 17 + 19. The number 72 is also the sum of four consecutive primes: 13 + 17 + 19 + 23.

RoadHacker took a roadtrip to Bouse, Arizona, that had him driving on AZ Hwy-72.

At the Maricopa County Community Colleges, the 72nd day of the year typically occurs during Spring Break.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 07 January 2007
+ added output from MathBabbler's Number Analyst on 25 May 2008

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