rpsystray.exe is a program which is probably legit. So, if rpsystray.exe is on your computer, it is probably ok, and will NOT be a cause for concern. Even if your PC is clean, it is still recommended to run a good antivirus with a good track record, in order to yourself your system against threats.
Usually, this program is located in C:\Program Files\Real\RealPlayer\RPDS\Bin\rpsystray.exe.
The MD5 fingerprint for this file is 8a81cd2e7c6c3b59cca43cafce4c1c77.
This application does NOT operate as a Windows service. This is usually a good sign.
This exe runs as a 32-bit program. It does not benefit of the full set of features of modern computer chips. This is quite normal because the publishers did not upgrade it to 64-bit code.
The description extracted from the exe is RealPlayer with RealTimes.
File version extracted from the file 184.108.40.206.
Producer RealNetworks, Inc..
Intellectual property rights notice Copyright(c) RealNetworks, Inc. 1995-2017, All rights reserved. (http://www.real.com).
This application does NOT have visible elements of user interface. This is most likely a bad sign.
rpsystray.exe has a digital signature. Today most legit programs are digitally signed.
The digital signature found in rpsystray.exe verifies as ok. This is excellent.
Digitally signed by: RealNetworks, Inc.
Certificate's issuer name: thawte SHA256 Code Signing CA
It has an uninstall string in registry, which is a good sign. si are uninstall.