6855072 has 72 divisors (see below), whose sum is σ = 20770848. Its totient is φ = 1939200.

The previous prime is 6855071. The next prime is 6855089. The reversal of 6855072 is 2705586.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6855071) 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, 67822 + ... + 67922.

It is an arithmetic number, because the mean of its divisors is an integer number (288484).

Almost surely, 2^6855072 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 6855072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385424).

6855072 is an abundant number, since it is smaller than the sum of its proper divisors (13915776).

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

6855072 is a wasteful number, since it uses less digits than its factorization.

6855072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 6855072 is about 2618.2192421568. The cubic root of 6855072 is about 189.9637234528.

Multiplying 6855072 by its product of nonzero digits (16800), we get a square (115165209600 = 339360²).

The spelling of 6855072 in words is "six million, eight hundred fifty-five thousand, seventy-two".