I applied through a recruiter.
The process consisted of two phone screens, one with a hiring manager and one with a senior engineer, and an onsite interview. The first call included behavioural and technical questions and the second call was almost exclusively technical.
The following metrics were computed from 61 interview experiences for the SpaceX Propulsion Engineer role.
SpaceX's interview process for their Propulsion Engineer roles is very selective, failing most engineers who go through it.
Candidates reported having very good feelings for SpaceX's Propulsion Engineer interview process.