72444 has 12 divisors (see below), whose sum is σ = 169064. Its totient is φ = 24144.

The previous prime is 72431. The next prime is 72461. The reversal of 72444 is 44427.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

72444 is a modest number, since divided by 444 gives 72 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 72444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3007 + ... + 3030.

2⁷²⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

72444 is an abundant number, since it is smaller than the sum of its proper divisors (96620).

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 (84532).

72444 is a wasteful number, since it uses less digits than its factorization.

72444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 6042 counting only the distinct ones).

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

The square root of 72444 is about 269.1542308789. The cubic root of 72444 is about 41.6870158380.

The spelling of 72444 in words is "seventy-two thousand, four hundred forty-four", and thus it is an iban number.