7647972 has 24 divisors (see below), whose sum is σ = 17890656. Its totient is φ = 2542848.

The previous prime is 7647949. The next prime is 7647973. The reversal of 7647972 is 2797467.

7647972 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (7647973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7603 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (745444).

Almost surely, 2^7647972 is an apocalyptic number.

It is an amenable number.

7647972 is an abundant number, since it is smaller than the sum of its proper divisors (10242684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7647972 is a wasteful number, since it uses less digits than its factorization.

7647972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1625 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 7647972 is about 2765.4967004139. The cubic root of 7647972 is about 197.0223204716.

The spelling of 7647972 in words is "seven million, six hundred forty-seven thousand, nine hundred seventy-two".