725828852 has 48 divisors (see below), whose sum is σ = 1519136640. Its totient is φ = 296929152.

The previous prime is 725828837. The next prime is 725828867. The reversal of 725828852 is 258828527.

It is an interprime number because it is at equal distance from previous prime (725828837) and next prime (725828867).

It is a junction number, because it is equal to n+sod(n) for n = 725828797 and 725828806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48299 + ... + 61517.

It is an arithmetic number, because the mean of its divisors is an integer number (31648680).

Almost surely, 2^725828852 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 725828852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759568320).

725828852 is an abundant number, since it is smaller than the sum of its proper divisors (793307788).

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

725828852 is a wasteful number, since it uses less digits than its factorization.

725828852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13320 (or 13318 counting only the distinct ones).

The product of its digits is 716800, while the sum is 47.

The square root of 725828852 is about 26941.2110343986. The cubic root of 725828852 is about 898.6931039892.

The spelling of 725828852 in words is "seven hundred twenty-five million, eight hundred twenty-eight thousand, eight hundred fifty-two".