440072 has 8 divisors (see below), whose sum is σ = 825150. Its totient is φ = 220032.

The previous prime is 440047. The next prime is 440087. The reversal of 440072 is 270044.

It can be written as a sum of positive squares in only one way, i.e., 320356 + 119716 = 566^2 + 346^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 440072.

It is an unprimeable number.

440072 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 as a sum of consecutive naturals, namely, 27497 + ... + 27512.

2⁴⁴⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

440072 is a deficient number, since it is larger than the sum of its proper divisors (385078).

440072 is a wasteful number, since it uses less digits than its factorization.

440072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55015 (or 55011 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 440072 is about 663.3792278931. The cubic root of 440072 is about 76.0631976644.

The spelling of 440072 in words is "four hundred forty thousand, seventy-two", and thus it is an iban number.