Surrogate keys (typically integers) have the added-value of making your table relations faster, and more economic in storage and update speed (even better, foreign keys do not need to be updated when using surrogate keys, in contrast with business key fields, that do change now and then).
A table's primary key should be used for identifying uniquely the row, mainly for join purposes. Think a Persons table: names can change, and they're not guaranteed unique.
Think Companies: you're a happy Merkin company doing business with other companies in Merkia. You are clever enough not to use the company name as the primary key, so you use Merkia's government's unique company ID in its entirety of 10 alphanumeric characters.
Then Merkia changes the company IDs because they thought it would be a good idea. It's ok, you use your db engine's cascaded updates feature, for a change that shouldn't involve you in the first place. Later on, your business expands, and now you work with a company in Freedonia. Freedonian company id are up to 16 characters. You need to enlarge the company id primary key (also the foreign key fields in Orders, Issues, MoneyTransfers etc), adding a Country field in the primary key (also in the foreign keys). Ouch! Civil war in Freedonia, it's split in three countries. The country name of your associate should be changed to the new one; cascaded updates to the rescue. BTW, what's your primary key? (Country, CompanyID) or (CompanyID, Country)? The latter helps joins, the former avoids another index (or perhaps many, should you want your Orders grouped by country too).
All these are not proof, but an indication that a surrogate key to uniquely identify a row for all uses, including join operations, is preferable to a business key.