6705972 has 144 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 1672704.

The previous prime is 6705911. The next prime is 6705977. The reversal of 6705972 is 2795076.

6705972 is a `hidden beast` number, since 67 + 0 + 597 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6705977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75304 + ... + 75392.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 2^6705972 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 6705972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

6705972 is an abundant number, since it is smaller than the sum of its proper divisors (15308748).

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

6705972 is a wasteful number, since it uses less digits than its factorization.

6705972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 6705972 is about 2589.5891566038. The cubic root of 6705972 is about 188.5763585881.

The spelling of 6705972 in words is "six million, seven hundred five thousand, nine hundred seventy-two".