They hide behind stoves, in bathrooms (vents and plumbing) and under sinks during the day, but if they are seen in large numbers actively scavenging in daylight, severe infestation is likely and would require a professional exterminator to remove.
Several generations can be born in one year, with approximately 30 nymphs in every egg capsule. Females are darker than males and may be carrying an egg capsule at the end of their abdomen. It is shaped like a pill/tablet. This capsule is left by a food and water source so the emerging nymphs (smaller versions of adults) can immediately feed after hatching.
Adhesive pads allow it to walk vertically on smooth surfaces, even glass. This allows them to climb walls and walk across ceilings without falling.
The name "Croton bug" was coined in the late 1800's when they first began invading homes in New York after the Croton Reservoir started bringing additional water to the growing city. Their familiarity these days has led to most people addressing this particular species in general as 'cockroach'.