The statistical analysis of properties of 213 rich clusters of galaxies is performed. The existence of correlations between the X-ray luminosity and the temperature of the intracluster medium and between the X-ray luminosity and the velocity dispersion of the galaxies is confirmed. New anti-correlation between optical luminosities L Hα and x-ray luminosities L x of intracluster gas in clusters is discovered: logplane testifies to that the masses of the intracluster gas in different clusters can differ significantly.