7971072 has 72 divisors (see below), whose sum is σ = 21633696. Its totient is φ = 2605056.

The previous prime is 7971031. The next prime is 7971091. The reversal of 7971072 is 2701797.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74443 + ... + 74549.

It is an arithmetic number, because the mean of its divisors is an integer number (300468).

Almost surely, 2^7971072 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 7971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10816848).

7971072 is an abundant number, since it is smaller than the sum of its proper divisors (13662624).

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

7971072 is a wasteful number, since it uses less digits than its factorization.

7971072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 7971072 is about 2823.3086972558. The cubic root of 7971072 is about 199.7586421825.

The spelling of 7971072 in words is "seven million, nine hundred seventy-one thousand, seventy-two".