726872000 has 112 divisors (see below), whose sum is σ = 1842832992. Its totient is φ = 283852800.

The previous prime is 726871991. The next prime is 726872011. The reversal of 726872000 is 278627.

726872000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342944 + ... + 345056.

It is an arithmetic number, because the mean of its divisors is an integer number (16453866).

Almost surely, 2^726872000 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 726872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921416496).

726872000 is an abundant number, since it is smaller than the sum of its proper divisors (1115960992).

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

726872000 is a wasteful number, since it uses less digits than its factorization.

726872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 726872000 is about 26960.5637923245. The cubic root of 726872000 is about 899.1234263555.

The spelling of 726872000 in words is "seven hundred twenty-six million, eight hundred seventy-two thousand".