In the context of explosive growth in data volume, the development of cloud storage services has brought great convenience to users. Users can save abundant storage and computing resources by storing data on cloud servers. The feature that the server can provide services at any time and on demand also makes it favored by more users. However, compared with local data storage, users lose direct control of the data in the cloud server. This also makes data security the biggest challenge facing the development of cloud storage. Various external attacks and internal failures may cause the user's data to be damaged. A data auditing scheme with lightweight calculation and verification is proposed. This solution simplifies the user's label calculation operation before uploading the data, while still ensuring the security of the user's uploading data. Correspondingly, the calculation tasks of the cloud server and the auditor are also reduced, and the calculation overhead is further reduced. And in order to protect user data privacy, the scheme draws on the scrambling encryption in image encryption, allowing users to use random functions to scramble the location of the data block, and at the same time allow the auditor to calculate the true location of the data block, and successfully complete the audit operation. The results show that the solution effectively saves the computing resources of users, servers, and auditors in the audit process and improves the efficiency of the process.