As many times as possible is probably not the way to go. Cleaning tapes have a maximum number of uses and over use of them also adds wear to the drive. If the cleaning light is on solid, that means cleaning recommended, and occurs after 50 hours of actual tape usage. If the cleaning light is blinking slow (on 2 seconds off 1), it means cleaning required, and typically resulted from repeated errors in writing the tape (which could also be a bad tape). If you use a cleaning tape and the light is still blinking, then the cleaning tape was expired. If it is blinking fast (1/8 second on and off), then the cleaning tape is expired.
If you can't clear this up by using a new cleaning tape and then a new tape to dump your data to, and a repeated process of using different new tapes for your dump does not work, then you may have a hardware failure. How old is your drive?
I found a couple of links that might be helpful.
http://support.dell.com/support/edoc...a_Handbook.pdf
http://support.dell.com/support/topi...DSK_100T_DAT72
Also, if you google "dell dat72 diagnostics", a couple of links come up that are Dell Support and have diagnostic software you can download and test your drive with. Poke around a bit and make sure you are getting the right thing for your system and drive.
I'm presuming you don't have access to warranty or contract support. But you could try looking up on their support site and finding out whether they might talk to you and recommend a course of action if the steps I've recommended above don't help.
I've had a number of DAT drives and had to replace at least a few of them after several years of use.