725052 has 48 divisors (see below), whose sum is σ = 1838592. Its totient is φ = 221760.

The previous prime is 725041. The next prime is 725057. The reversal of 725052 is 250527.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725052.

It is not an unprimeable number, because it can be changed into a prime (725057) by changing a digit.

725052 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 15 ways as a sum of consecutive naturals, for example, 10177 + ... + 10247.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁷²⁵⁰⁵² is an apocalyptic number.

It is a pronic number, being equal to 851×852.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296).

725052 is an abundant number, since it is smaller than the sum of its proper divisors (1113540).

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

725052 is a wasteful number, since it uses less digits than its factorization.

725052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 725052 is about 851.4998532002. The cubic root of 725052 is about 89.8372366872.

Adding to 725052 its reverse (250527), we get a palindrome (975579).

The spelling of 725052 in words is "seven hundred twenty-five thousand, fifty-two".