720057000 has 256 divisors, whose sum is σ = 2489760000. Its totient is φ = 172108800.

The previous prime is 720056999. The next prime is 720057017. The reversal of 720057000 is 750027.

720057000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1442751 + ... + 1443249.

It is an arithmetic number, because the mean of its divisors is an integer number (9725625).

Almost surely, 2^720057000 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 720057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244880000).

720057000 is an abundant number, since it is smaller than the sum of its proper divisors (1769703000).

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

720057000 is a wasteful number, since it uses less digits than its factorization.

720057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 720057000 is about 26833.8778412663. The cubic root of 720057000 is about 896.3046005457.

The spelling of 720057000 in words is "seven hundred twenty million, fifty-seven thousand".