General:
* Attention
* Exposure
* Promotion
* Coverage
* Notoriety
* Fame
* Reputation
* Awareness
* Dissemination
* Dissemination
* Publicity
* Media attention
* Public relations
More specific:
* Press coverage (for news articles)
* Marketing (for advertising and promotion)
* Buzz (for positive, informal talk about a product or service)
* Scandal (for negative publicity)
* Endorsement (for positive support from an influential person)
The best synonym depends on the specific situation and what you want to emphasize.