27612 is a member of OEIS A170928: least magic constant of magic squares using Smith numbers (composite numbers with sum of their digits the same as the sum of the digits of their prime factorization). Follow this Russian link.

27612 is a katadrome in base 13 (c750) since its digits are strictly decreasing.

27612 is a Fibonacci-like Number of the Second Type in base 15 (82ac) since:

• 8 + 2 = 10 = A
• A + 2 = 12 = C

27612 is a xenodrome in bases 8, 9, 12, 13, 14, 15 and 16.

27612 is an abundant, pseudoperfect and Zumkeller number.

27612 can be rendered as a digit equation as follows:

-2 + 7 = 6 - 1^2

27612 has the following trajectory under odd and even algorithm: [27612, 27610, 27608, 27597, 27612]

This means that the number is a vortical and part of the vortex 27612, 27610, 27608, 27597