explorer32.exe definition, relationships, removal:

explorer32.exe is an executable file that starts a malicious process, launches certain parasite components or runs a destructive payload. Even if the explorer32.exe file does nothing suspicious, its presence indicates that your computer is infected with a particular threat.
The explorer32.exe file is installed and used by browser hijacker CoolWebSearch.explorer32.
Please note that the explorer32.exe file actually may be a fully legitimate part of the operating system or legitimate software. Often parasites use files with unsuspicious names, but malicious functionality. You should always carefully check the file before deleting it. It may not be related with malware, but can be required by your essential programs to work properly.