724001004 has 144 divisors (see below), whose sum is σ = 2018016000. Its totient is φ = 226328256.

The previous prime is 724000997. The next prime is 724001011. The reversal of 724001004 is 400100427.

It is a happy number.

724001004 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 (724000997) and next prime (724001011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3638097 + ... + 3638295.

It is an arithmetic number, because the mean of its divisors is an integer number (14014000).

Almost surely, 2^724001004 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 724001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009008000).

724001004 is an abundant number, since it is smaller than the sum of its proper divisors (1294014996).

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

724001004 is a wasteful number, since it uses less digits than its factorization.

724001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 724001004 is about 26907.2667508240. The cubic root of 724001004 is about 897.9380797016.

The spelling of 724001004 in words is "seven hundred twenty-four million, one thousand, four".