7005972 has 48 divisors (see below), whose sum is σ = 17623872. Its totient is φ = 2158080.

The previous prime is 7005959. The next prime is 7005979. The reversal of 7005972 is 2795007.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7005979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12163 + ... + 12725.

It is an arithmetic number, because the mean of its divisors is an integer number (367164).

Almost surely, 2^7005972 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 7005972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8811936).

7005972 is an abundant number, since it is smaller than the sum of its proper divisors (10617900).

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

7005972 is a wasteful number, since it uses less digits than its factorization.

7005972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 7005972 is about 2646.8796723690. The cubic root of 7005972 is about 191.3475029334.

The spelling of 7005972 in words is "seven million, five thousand, nine hundred seventy-two".