Laser spectroscopy measurements have been carried out on the neutron-rich tin isotopes with the COMPLIS experimental setup. Using the 5s 2 5p 2 3 P 0 → 5s 2 5p6s 3 P 1 optical transition, hyperfine spectra of 126−132 Sn and 125,127,[129][130][131] Sn m were recorded for the first time. The nuclear moments and the mean square charge radius variation (δ r 2 c ) were extracted. From the quadrupole moment values, these nuclei appear to be spherical. The magnetic moments measured are thus compared with those predicted by spherical basis approaches. From the measured δ r 2 c , the absolute charge radii of these isotopes were deduced in particular that of the doubly magic 132 Sn nucleus. The comparison of the results with several mean-field-type calculations have shown that dynamical effects play an important role in the tin isotopes.