728125000 has 72 divisors (see below), whose sum is σ = 1713866310. Its totient is φ = 290000000.

The previous prime is 728124983. The next prime is 728125037. The reversal of 728125000 is 521827.

It can be written as a sum of positive squares in 9 ways, for example, as 649944036 + 78180964 = 25494^2 + 8842^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3124884 + ... + 3125116.

Almost surely, 2^728125000 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 728125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856933155).

728125000 is an abundant number, since it is smaller than the sum of its proper divisors (985741310).

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

728125000 is an frugal number, since it uses more digits than its factorization.

728125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 728125000 is about 26983.7914311536. The cubic root of 728125000 is about 899.6397735335.

Adding to 728125000 its reverse (521827), we get a palindrome (728646827).

The spelling of 728125000 in words is "seven hundred twenty-eight million, one hundred twenty-five thousand".