Full_number = list(input("Номер, полученный из станций "))
Full_number_without=[]
for x in Full_number:
    if x=="#":
        Full_number.remove(x)
    else:
        x=int(x)
        Full_number_without.append(x)
print(Full_number_without)

#25#45

[5, 5]

Full_number = input("Номер, полученный из станций ")
Full_number_without=[]
for x in Full_number:
    if  x!="#":
        x=int(x)
        Full_number_without.append(x)
print(Full_number_without)

original_number = input('What the number?')
fixed_digits = []
for x in original_number:
    if x != '#':
        fixed_digits.append(x)

print ''.join(fixed_digits)

print ''.join((x for x in input('What the number?') if x != '#'))

print input('What the number?').replace('#', '')

>>> def f():
...     s = input('num: ')
...     lst = list(map(int, s.replace('#', '')))
...     return lst
... 
>>> f()
num: #25#45
[2, 5, 4, 5]
>>>

s = input('What the number?')
result = list(map(int, s.split("#")[1:]))