7971712 has 96 divisors (see below), whose sum is σ = 19535040. Its totient is φ = 3225600.

The previous prime is 7971709. The next prime is 7971713. The reversal of 7971712 is 2171797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194412 + ... + 194452.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 2^7971712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767520).

7971712 is an abundant number, since it is smaller than the sum of its proper divisors (11563328).

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

7971712 is a wasteful number, since it uses less digits than its factorization.

7971712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its digits is 6174, while the sum is 34.

The square root of 7971712 is about 2823.4220371740. The cubic root of 7971712 is about 199.7639882685.

The spelling of 7971712 in words is "seven million, nine hundred seventy-one thousand, seven hundred twelve".