For ordinary numbers use digit character class as [[:digit:]] or shorthand \d:
SELECT regexp_replace('s4y8sds', $$\d+$$, '', 'g');
Result:
regexp_replace
----------------
sysds
(1 row)
For other numbers (for example ¼) is not that simple, more precisely as documentation says it's ctype (locale) dependent:
Within a bracket expression, the name of a character class enclosed in
[: and :] stands for the list of all characters belonging to that
class. Standard character class names are: alnum, alpha, blank, cntrl,
digit, graph, lower, print, punct, space, upper, xdigit. These stand
for the character classes defined in ctype. A locale can provide
others.
However you could use internal PL/Perl procedural language and write server-side function with wanted Unicode characters classes \p{}:
CREATE OR REPLACE FUNCTION removeNumbersUnicode(text)
RETURNS text AS $$
$s = $_[0];
$s =~ s/\p{N}//g;
return $s;
$$ LANGUAGE plperl;
Check Chapter 41 from doc for more info how to write such functions.