27342 is a member of OEIS A192087: potential magic constants of a 10 X 10 magic square composed of consecutive primes. See blog post Magic Constants Involving Prime Numbers. The initial members of the sequence are:

2862, 3092, 3500, 4222, 4780, 5608, 7124, 10126, 10198, 11212, 11426, 12140, 12212, 12284, 12356, 12428, 12714, 12854, 12924, 15270, 16252, 16476, 18594, 18672, 18750, 18828, 19214, 20764, 21150, 23752, 24214, 24598, 24828, 27180, 27342, 27424, 27916, 28666, 29406, 29568

27342 is a happy, Harshad, untouchable, practical, abundant, Zumkeller and pseudoperfect number.