725220 has 96 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 179712.

The previous prime is 725209. The next prime is 725273. The reversal of 725220 is 22527.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 725193 and 725202.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725220.

It is an unprimeable number.

725220 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 31 ways as a sum of consecutive naturals, for example, 9141 + ... + 9219.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁷²⁵²²⁰ 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 725220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

725220 is an abundant number, since it is smaller than the sum of its proper divisors (1693980).

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

725220 is a wasteful number, since it uses less digits than its factorization.

725220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

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

The square root of 725220 is about 851.5984969456. The cubic root of 725220 is about 89.8441748058.

Adding to 725220 its reverse (22527), we get a palindrome (747747).

The spelling of 725220 in words is "seven hundred twenty-five thousand, two hundred twenty".