my_list = [4578, 7327, 113, 3467, 1858]

print("The list is :")
print(my_list)

my_result = []

for element in my_list:
   my_flag = True
   for index in range(len(str(element)) - 1):

      if str(element)[index + 1] <= str(element)[index]:
         my_flag = False

   if my_flag:
      my_result.append(element)

print("The result is :")
print(my_result)

The list is :
[4578, 7327, 113, 3467, 1858]
The result is :
[4578, 3467]