The results of the data analysis from thermal neutron detectors registered using CAEN N6730 multichannel pulse shape analyzer (digitizer) are presented in the paper. The measurements have been carried out using a laboratory neutron source, as well as on the experimental beams of the IBR-2 reactor (FLNP JINR, Dubna) and IR-8 (NRC KI, Moscow). Several types of resistive tubes and a scintillation detector have been used as neutron detectors. Some peculiarities of the N6730 digitizer in terms of signal registration are revealed. A quantitative criterion for determining the limits of applicability of CAEN N6730 digitizers for different types of detectors is proposed in the paper.