"Polyromantic" comes from the prefix poly-, meaning "many".
An individual who is aromatic may feel little or no romantic attraction to others. An aromatic person does not feel the innate need to connect on a deeper emotional or physical level.
An individual who is panromantic is emotionally and spiritually attracted to anyone, regardless of gender identity, but not in a sexual manner.
An individual who is polysexual can be attracted to anyone, regardless of gender in a sexual manner. However, for someone who is polysexual, sexual identity does matter, and is attracted to individuals of a certain identity. As an example, someone attracted to women, would be attracted to those who identify as female.