6631272 has 48 divisors (see below), whose sum is σ = 18545280. Its totient is φ = 2138400.

The previous prime is 6631271. The next prime is 6631279. The reversal of 6631272 is 2721366.

It is a happy number.

6631272 is a `hidden beast` number, since 6 + 631 + 27 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6631271) 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, 747 + ... + 3717.

It is an arithmetic number, because the mean of its divisors is an integer number (386360).

Almost surely, 2^6631272 is an apocalyptic number.

6631272 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6631272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9272640).

6631272 is an abundant number, since it is smaller than the sum of its proper divisors (11914008).

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

6631272 is a wasteful number, since it uses less digits than its factorization.

6631272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3007 counting only the distinct ones).

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

The square root of 6631272 is about 2575.1256280034. The cubic root of 6631272 is about 187.8735380091.

It can be divided in two parts, 6631 and 272, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 6631272 in words is "six million, six hundred thirty-one thousand, two hundred seventy-two".