6811872 has 24 divisors (see below), whose sum is σ = 17881416. Its totient is φ = 2270592.

The previous prime is 6811867. The next prime is 6811873. The reversal of 6811872 is 2781186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6811873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35383 + ... + 35574.

It is an arithmetic number, because the mean of its divisors is an integer number (745059).

Almost surely, 2^6811872 is an apocalyptic number.

It is an amenable number.

6811872 is an abundant number, since it is smaller than the sum of its proper divisors (11069544).

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

6811872 is a wasteful number, since it uses less digits than its factorization.

6811872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70970 (or 70962 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 6811872 is about 2609.9563214736. The cubic root of 6811872 is about 189.5638379287.

The spelling of 6811872 in words is "six million, eight hundred eleven thousand, eight hundred seventy-two".