User meta updating giving no value

So, I have the following to update the user meta:

<?php if ( is_user_logged_in() ) { ?>
    <?php echo '<input class="input" type="text" id="rhc_phone" name="rhc_phone" placeholder="Phone number" value="' .$current_user -> rh_phone. '"/>' ;?>                          
    <?php update_user_meta( $current_user->ID, 'rh_phone', esc_attr( $_POST['rhc_phone'] ) ); ?>            
<?php }else{ ?>
        <input class="input" type="text" id="rhc_phone" name="rhc_phone" placeholder="Phone number" value=""/>
<?php } ?>

However when I click submit, there is no value (not even the previous value).

What am I doing wrong?

Thanks!

via Chebli Mohamed