3672720 has 60 divisors (see below), whose sum is σ = 12336636. Its totient is φ = 979200.

The previous prime is 3672689. The next prime is 3672727. The reversal of 3672720 is 272763.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 3283344 = 624^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (3672727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1831 + ... + 3270.

Almost surely, 2^3672720 is an apocalyptic number.

3672720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3672720 is an abundant number, since it is smaller than the sum of its proper divisors (8663916).

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

3672720 is a wasteful number, since it uses less digits than its factorization.

3672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5111 counting only the distinct ones).

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

The square root of 3672720 is about 1916.4341887996. The cubic root of 3672720 is about 154.2869782377.

The spelling of 3672720 in words is "three million, six hundred seventy-two thousand, seven hundred twenty".