6765672 has 64 divisors (see below), whose sum is σ = 18331200. Its totient is φ = 2073600.

The previous prime is 6765631. The next prime is 6765673. The reversal of 6765672 is 2765676.

6765672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6765672³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6765672.

It is not an unprimeable number, because it can be changed into a prime (6765673) 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, 16672 + ... + 17072.

It is an arithmetic number, because the mean of its divisors is an integer number (286425).

Almost surely, 2^6765672 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 6765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165600).

6765672 is an abundant number, since it is smaller than the sum of its proper divisors (11565528).

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

6765672 is a wasteful number, since it uses less digits than its factorization.

6765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 6765672 is about 2601.0905405233. The cubic root of 6765672 is about 189.1343072682.

The spelling of 6765672 in words is "six million, seven hundred sixty-five thousand, six hundred seventy-two".