3706272 has 72 divisors (see below), whose sum is σ = 11174436. Its totient is φ = 1161216.

The previous prime is 3706259. The next prime is 3706301. The reversal of 3706272 is 2726073.

3706272 is a `hidden beast` number, since 37 + 0 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3549456 + 156816 = 1884^2 + 396^2 .

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

It is an Ulam 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, 4518 + ... + 5274.

Almost surely, 2^3706272 is an apocalyptic number.

3706272 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 3706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587218).

3706272 is an abundant number, since it is smaller than the sum of its proper divisors (7468164).

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

3706272 is a wasteful number, since it uses less digits than its factorization.

3706272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3706272 is about 1925.1680446132. The cubic root of 3706272 is about 154.7553824500.

The spelling of 3706272 in words is "three million, seven hundred six thousand, two hundred seventy-two".