44072 has 16 divisors (see below), whose sum is σ = 94560. Its totient is φ = 18864.

The previous prime is 44071. The next prime is 44087. The reversal of 44072 is 27044.

It is a self number, because there is not a number n which added to its sum of digits gives 44072.

It is not an unprimeable number, because it can be changed into a prime (44071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (5910).

2⁴⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

44072 is an abundant number, since it is smaller than the sum of its proper divisors (50488).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47280).

44072 is a wasteful number, since it uses less digits than its factorization.

44072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

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

The square root of 44072 is about 209.9333227480. The cubic root of 44072 is about 35.3227293047.

It can be divided in two parts, 440 and 72, that added together give a 9-th power (512 = 2⁹).

The spelling of 44072 in words is "forty-four thousand, seventy-two", and thus it is an iban number.