725040 has 120 divisors (see below), whose sum is σ = 2611440. Its totient is φ = 179712.

The previous prime is 725009. The next prime is 725041. The reversal of 725040 is 40527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (725041) by changing a digit.

725040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13654 + ... + 13706.

It is an arithmetic number, because the mean of its divisors is an integer number (21762).

2⁷²⁵⁰⁴⁰ 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 725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305720).

725040 is an abundant number, since it is smaller than the sum of its proper divisors (1886400).

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

725040 is a wasteful number, since it uses less digits than its factorization.

725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 725040 is about 851.4928067811. The cubic root of 725040 is about 89.8367410663.

Adding to 725040 its reverse (40527), we get a palindrome (765567).

The spelling of 725040 in words is "seven hundred twenty-five thousand, forty".