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I need this part, but for the right side. It's a little gloss black plastic trim piece that went missing. Google-foo has failed me and I keep getting rear quarter window assemblies and stuff I don't need. Seems like the part number should be 62710A.
You're right, the part number is likely 62710B for the right side. Parts ending in "A" are typically for the left/driver side, and "B" is for the right/passenger side.
Call a dealership parts department. Give them your car's exact year, make, and model. Ask them to look up the base part number 62710 and confirm the suffix for the right side (likely B). They can sell you the exact piece.
Also, check specialized online parts sites for your specific car brand, or search eBay using your full vehicle details plus "pillar trim" or "quarter window trim."