Display what taxonomies a custom post has?

As there’s multiple Taxonomies, you will need to loop through all of the assigned taxonomies of that post type. get_object_taxonomies is the function which returns array of post type taxonomies.

global $post;
foreach ( get_object_taxonomies( $post ) as $tax_name ){
    $taxonomy = get_taxonomy( $tax_name );
    $label = $taxonomy->labels->name;

    the_terms( $post->ID, $tax_name, $label . ': ', ', ' );
}