there was no USB cord with my new phone

Refer to this document for ways to contact Apple --> Choose your country or region - Official Apple Support

Select your country (also look for "other" regions), then a product. If you don't see one that handles your issue then keep experimenting with selections until you reach one that gets you a chat session or a telephone call and get the representative to redirect you.

or:

Contact Apple for support and service by telephone --> Contact Apple for support and service - Apple Support

Did you purchase this iPhone new from either Apple or an Apple Authorized Service Provider? If so, then a cable should have been provided with the phone.