444072 has 16 divisors (see below), whose sum is σ = 1110240. Its totient is φ = 148016.

The previous prime is 444047. The next prime is 444079. The reversal of 444072 is 270444.

It is not an unprimeable number, because it can be changed into a prime (444079) by changing a digit.

444072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9228 + ... + 9275.

It is an arithmetic number, because the mean of its divisors is an integer number (69390).

2⁴⁴⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

444072 is an abundant number, since it is smaller than the sum of its proper divisors (666168).

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

444072 is a wasteful number, since it uses less digits than its factorization.

444072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18512 (or 18508 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 444072 is about 666.3872747885. The cubic root of 444072 is about 76.2929597565.

The spelling of 444072 in words is "four hundred forty-four thousand, seventy-two", and thus it is an iban number.