27726 is a member of OEIS A071927: barely abundant numbers: abundant n such that sigma(n)/n < sigma(m)/m for all abundant numbers m<n.
The initial terms ae:
12, 18, 20, 70, 88, 104, 464, 650, 1888, 1952, 4030, 5830, 8925, 17816, 26742, 26778, 26886, 26898, 26958, 27042, 27078, 27102, 27114, 27138, 27282, 27294, 27366, 27402, 27498, 27546, 27582, 27618, 27726, 27822, 27834, 27858, 27894, 27906
27726 is a sphenic number.
27726 is unprimeable meaning it is composite and changing any single digit doesn't alter that
27726 has a totient (9240) that is a multiple (4) of the primorial 2310 since 9240 = 2^3 * 3 * 5 * 7 * 11 = 4 * 2310.
27726 is a nialpdrome in base 6 : 332210
27726 is an admirable number since the terms in [1, 2, 3, -6, 4621, 9242, 13863] add to 27726.
27726 is a junction number because it is equal to n + sod(n) for n = 27696 and 27705.
27726 is a primitive abundant number since it is smaller than the sum of its proper divisors, none of which is abundant.
27726 is a Zumkeller and pseudoperfect number.
27726 can be rendered as a digit equation as follows:
2 + 7 / 7 = 2 | 6