6312672 has 72 divisors (see below), whose sum is σ = 18751824. Its totient is φ = 2010624.

The previous prime is 6312667. The next prime is 6312689. The reversal of 6312672 is 2762136.

It is a happy number.

6312672 is a `hidden beast` number, since 631 + 26 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6148 + ... + 7100.

It is an arithmetic number, because the mean of its divisors is an integer number (260442).

Almost surely, 2^6312672 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 6312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9375912).

6312672 is an abundant number, since it is smaller than the sum of its proper divisors (12439152).

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

6312672 is a wasteful number, since it uses less digits than its factorization.

6312672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 981 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 6312672 is about 2512.5031343264. The cubic root of 6312672 is about 184.8152233481.

The spelling of 6312672 in words is "six million, three hundred twelve thousand, six hundred seventy-two".