Yes — Mumbai is generally safe for tourists, including solo women travellers, and violent crime against visitors is rare. The city has a reputation as one of India's more relaxed and cosmopolitan urban environments. That said, standard big-city precautions apply throughout.
Petty theft and pickpocketing are the most common issues, particularly in crowded areas like CST, Dadar station, Crawford Market, and Chor Bazaar. Keep bags zipped and in front of you, and use a money belt for passports and large amounts of cash.
Transport safety: use Uber, Ola, or pre-paid taxi booths at the airport and major stations rather than unmarked vehicles. Mumbai's local trains are generally safe but extremely crowded during rush hours (8–10 am and 6–9 pm) — use the ladies' compartment if applicable, and keep belongings close.
Water & health: drink bottled or filtered water only. Street food from busy, high-turnover stalls is usually safe; avoid pre-cut fruit from roadside vendors in the monsoon season.
Areas to note: Dharavi is safe to visit on a reputable guided tour but not recommended for solo wandering. Avoid isolated stretches of beach (Versova, Juhu) after dark.
Emergency numbers: Police 100, Ambulance 108, Tourist Helpline 1363.