724000 has 48 divisors (see below), whose sum is σ = 1788696. Its totient is φ = 288000.

The previous prime is 723997. The next prime is 724001. The reversal of 724000 is 427.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 685584 = 196^2 + 828^2 .

It is not an unprimeable number, because it can be changed into a prime (724001) 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, 3910 + ... + 4090.

2⁷²⁴⁰⁰⁰ 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 724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894348).

724000 is an abundant number, since it is smaller than the sum of its proper divisors (1064696).

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

724000 is a wasteful number, since it uses less digits than its factorization.

724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 724000 is about 850.8818954473. The cubic root of 724000 is about 89.7937664633.

Adding to 724000 its reverse (427), we get a palindrome (724427).

The spelling of 724000 in words is "seven hundred twenty-four thousand", and thus it is an iban number.