Example
$post_type = get_post_type();
$taxonomies = get_object_taxonomies($post_type);
$taxonomy_names = wp_get_object_terms(get_the_ID(), $taxonomies, array("fields" => "names"));
var_dump($taxonomy_names);
Example
$post_type = get_post_type();
$taxonomies = get_object_taxonomies($post_type);
$taxonomy_names = wp_get_object_terms(get_the_ID(), $taxonomies, array("fields" => "names"));
var_dump($taxonomy_names);