726072004 has 120 divisors (see below), whose sum is σ = 1637576640. Its totient is φ = 280348992.

The previous prime is 726071971. The next prime is 726072013. The reversal of 726072004 is 400270627.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4196862 + ... + 4197034.

It is an arithmetic number, because the mean of its divisors is an integer number (13646472).

Almost surely, 2^726072004 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 726072004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818788320).

726072004 is an abundant number, since it is smaller than the sum of its proper divisors (911504636).

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

726072004 is a wasteful number, since it uses less digits than its factorization.

726072004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 726072004 is about 26945.7232970280. The cubic root of 726072004 is about 898.7934465738.

The spelling of 726072004 in words is "seven hundred twenty-six million, seventy-two thousand, four".