3712672 has 24 divisors (see below), whose sum is σ = 7361172. Its totient is φ = 1843200.

The previous prime is 3712669. The next prime is 3712679. The reversal of 3712672 is 2762173.

It can be written as a sum of positive squares in 2 ways, for example, as 3671056 + 41616 = 1916^2 + 204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3712672.

It is not an unprimeable number, because it can be changed into a prime (3712679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5472 + ... + 6112.

Almost surely, 2^3712672 is an apocalyptic number.

3712672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3712672 is a deficient number, since it is larger than the sum of its proper divisors (3648500).

3712672 is a wasteful number, since it uses less digits than its factorization.

3712672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 824 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 3712672 is about 1926.8295202223. The cubic root of 3712672 is about 154.8444085567.

It can be divided in two parts, 37 and 12672, that multiplied together give a palindrome (468864).

The spelling of 3712672 in words is "three million, seven hundred twelve thousand, six hundred seventy-two".