3607272 has 24 divisors (see below), whose sum is σ = 9769890. Its totient is φ = 1202400.

The previous prime is 3607249. The next prime is 3607277. The reversal of 3607272 is 2727063.

3607272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3481956 + 125316 = 1866^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3607272² = 26024822563968, which contains 22 as substring.

3607272 is a modest number, since divided by 7272 gives 360 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3607277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24979 + ... + 25122.

Almost surely, 2^3607272 is an apocalyptic number.

It is an amenable number.

3607272 is an abundant number, since it is smaller than the sum of its proper divisors (6162618).

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

3607272 is a wasteful number, since it uses less digits than its factorization.

3607272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50113 (or 50106 counting only the distinct ones).

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

The square root of 3607272 is about 1899.2819695875. The cubic root of 3607272 is about 153.3650134079.

The spelling of 3607272 in words is "three million, six hundred seven thousand, two hundred seventy-two".