They say the deadliest of today's bombings was carried out by a suicide bomber who blew up himself among Shiite worshippers who were leaving a mosque after noon prayers in the capital's eastern New Baghdad area, killing at least 15 people and wounding 32 others.
That was followed by back-to-back car bombings in cities south of Baghdad.
In Karbala, the explosion killed 12 civilians and wounded 31 others.
In Hillah, two car bombs went off in separate areas, killing 11 people and wounding 26 others. Five others were also killed in two separate attacks in Baghdad.