3680072 has 64 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 1512000.

The previous prime is 3680059. The next prime is 3680081. The reversal of 3680072 is 2700863.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51797 + ... + 51867.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 2^3680072 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 3680072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

3680072 is an abundant number, since it is smaller than the sum of its proper divisors (4614328).

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

3680072 is a wasteful number, since it uses less digits than its factorization.

3680072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 3680072 is about 1918.3513755306. The cubic root of 3680072 is about 154.3898594645.

It can be divided in two parts, 36 and 80072, that added together give a palindrome (80108).

The spelling of 3680072 in words is "three million, six hundred eighty thousand, seventy-two".