724944 has 40 divisors (see below), whose sum is σ = 2044512. Its totient is φ = 219520.

The previous prime is 724939. The next prime is 724949. The reversal of 724944 is 449427.

724944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (724939) and next prime (724949).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 724944.

It is not an unprimeable number, because it can be changed into a prime (724949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 1214.

724944 is a Friedman number, since it can be written as 44*(92+4^7), using all its digits and the basic arithmetic operations.

2⁷²⁴⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022256).

724944 is an abundant number, since it is smaller than the sum of its proper divisors (1319568).

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

724944 is a wasteful number, since it uses less digits than its factorization.

724944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1389 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 724944 is about 851.4364333290. The cubic root of 724944 is about 89.8327759022.

The spelling of 724944 in words is "seven hundred twenty-four thousand, nine hundred forty-four".