727125800 has 48 divisors (see below), whose sum is σ = 1703938560. Its totient is φ = 288550080.

The previous prime is 727125793. The next prime is 727125803. The reversal of 727125800 is 8521727.

727125800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (727125803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11087 + ... + 39713.

It is an arithmetic number, because the mean of its divisors is an integer number (35498720).

Almost surely, 2^727125800 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 727125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851969280).

727125800 is an abundant number, since it is smaller than the sum of its proper divisors (976812760).

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

727125800 is a wasteful number, since it uses less digits than its factorization.

727125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28770 (or 28761 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 727125800 is about 26965.2702563872. The cubic root of 727125800 is about 899.2280623717.

The spelling of 727125800 in words is "seven hundred twenty-seven million, one hundred twenty-five thousand, eight hundred".