6745872 has 80 divisors (see below), whose sum is σ = 21105792. Its totient is φ = 1812480.

The previous prime is 6745841. The next prime is 6745873. The reversal of 6745872 is 2785476.

6745872 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

6745872 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 6745872.

It is not an unprimeable number, because it can be changed into a prime (6745873) 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, 5122 + ... + 6302.

Almost surely, 2^6745872 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 6745872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10552896).

6745872 is an abundant number, since it is smaller than the sum of its proper divisors (14359920).

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

6745872 is a wasteful number, since it uses less digits than its factorization.

6745872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 6745872 is about 2597.2816558856. The cubic root of 6745872 is about 188.9496240422.

The spelling of 6745872 in words is "six million, seven hundred forty-five thousand, eight hundred seventy-two".