72944 has 20 divisors (see below), whose sum is σ = 145824. Its totient is φ = 35328.

The previous prime is 72937. The next prime is 72949. The reversal of 72944 is 44927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72949) 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, 704 + ... + 800.

2⁷²⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

72944 is a deficient number, since it is larger than the sum of its proper divisors (72880).

72944 is a wasteful number, since it uses less digits than its factorization.

72944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 72944 is about 270.0814691903. The cubic root of 72944 is about 41.7827023352.

The spelling of 72944 in words is "seventy-two thousand, nine hundred forty-four".