725000 has 48 divisors (see below), whose sum is σ = 1757700. Its totient is φ = 280000.

The previous prime is 724993. The next prime is 725009. The reversal of 725000 is 527.

It can be written as a sum of positive squares in 6 ways, for example, as 81796 + 643204 = 286^2 + 802^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (725009) by changing a digit.

725000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24986 + ... + 25014.

2⁷²⁵⁰⁰⁰ 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 725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878850).

725000 is an abundant number, since it is smaller than the sum of its proper divisors (1032700).

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

725000 is an equidigital number, since it uses as much as digits as its factorization.

725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 725000 is about 851.4693182963. The cubic root of 725000 is about 89.8350889572.

Adding to 725000 its reverse (527), we get a palindrome (725527).

It can be divided in two parts, 72 and 5000, that multiplied together give a square (360000 = 600²).

The spelling of 725000 in words is "seven hundred twenty-five thousand".