3672732 has 48 divisors (see below), whose sum is σ = 10225152. Its totient is φ = 1003200.

The previous prime is 3672727. The next prime is 3672733. The reversal of 3672732 is 2372763.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3672732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982 + ... + 2882.

It is an arithmetic number, because the mean of its divisors is an integer number (213024).

Almost surely, 2^3672732 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 3672732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112576).

3672732 is an abundant number, since it is smaller than the sum of its proper divisors (6552420).

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

3672732 is a wasteful number, since it uses less digits than its factorization.

3672732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1936 counting only the distinct ones).

The product of its digits is 10584, while the sum is 30.

The square root of 3672732 is about 1916.4373196116. The cubic root of 3672732 is about 154.2871462732.

The spelling of 3672732 in words is "three million, six hundred seventy-two thousand, seven hundred thirty-two".