WooCommerce - Show product categories on product page

<?php
  // WooCommerce - Show product categories on product page
  add_action( 'woocommerce_single_product_summary', 'show_product_categories', 25 );
  function show_product_categories() {
    global $product;
    $terms = get_the_terms( $product->get_id(), 'product_cat' );
    if( $terms ) {
      $names = array();
      foreach ( $terms as $term ) {
        $names[] = $term->name;
      }
      print '<p>Categories: '.join( ', ', $names ).'</p>'.PHP_EOL;;
    }
  }