3672125 has 16 divisors (see below), whose sum is σ = 4745520. Its totient is φ = 2833600.

The previous prime is 3672113. The next prime is 3672127. The reversal of 3672125 is 5212763.

It can be written as a sum of positive squares in 8 ways, for example, as 2477476 + 1194649 = 1574^2 + 1093^2 .

It is not a de Polignac number, because 3672125 - 2⁸ = 3671869 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3672094 and 3672103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672127) 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, 3119 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (296595).

Almost surely, 2^3672125 is an apocalyptic number.

It is an amenable number.

3672125 is a deficient number, since it is larger than the sum of its proper divisors (1073395).

3672125 is a wasteful number, since it uses less digits than its factorization.

3672125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1047 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 3672125 is about 1916.2789462915. The cubic root of 3672125 is about 154.2786460198.

Adding to 3672125 its reverse (5212763), we get a palindrome (8884888).

The spelling of 3672125 in words is "three million, six hundred seventy-two thousand, one hundred twenty-five".