We present heat capacity, c-axis thermal expansion and pressure dependent,
low field, temperature dependent magnetization for pressures up to ~ 12 kbar,
data for KFe2As2 single crystals. Tc decreases under pressure with dTc/dP ~
-0.10 K/kbar. The inferred uniaxial, c-axis, pressure derivative is positive,
dTc/dpc ~ 0.11 K/kbar. The data are analyzed in comparison with those for
overdoped Fe-based superconductors. Arguments are presented that
superconductivity in KFe2As2 may be different from the other overdoped,
Fe-based materials in the 122 family