3166272 has 84 divisors (see below), whose sum is σ = 9509760. Its totient is φ = 1005312.

The previous prime is 3166271. The next prime is 3166277. The reversal of 3166272 is 2726613.

It is a happy number.

3166272 is a `hidden beast` number, since 31 + 6 + 627 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3166271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13129 + ... + 13367.

Almost surely, 2^3166272 is an apocalyptic number.

3166272 is a gapful number since it is divisible by the number (32) 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 3166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754880).

3166272 is an abundant number, since it is smaller than the sum of its proper divisors (6343488).

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

3166272 is a wasteful number, since it uses less digits than its factorization.

3166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

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

The square root of 3166272 is about 1779.4021467898. The cubic root of 3166272 is about 146.8417010372.

The spelling of 3166272 in words is "three million, one hundred sixty-six thousand, two hundred seventy-two".