725613300 has 108 divisors (see below), whose sum is σ = 2311854636. Its totient is φ = 190310400.

The previous prime is 725613299. The next prime is 725613349. The reversal of 725613300 is 3316527.

It is a happy number.

725613300 is a `hidden beast` number, since 72 + 561 + 3 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 161645796 + 563967504 = 12714^2 + 23748^2 .

It is a super-2 number, since 2×725613300² = 1053029322273780000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48292 + ... + 61508.

Almost surely, 2^725613300 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 725613300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155927318).

725613300 is an abundant number, since it is smaller than the sum of its proper divisors (1586241336).

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

725613300 is a wasteful number, since it uses less digits than its factorization.

725613300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 725613300 is about 26937.2103232684. The cubic root of 725613300 is about 898.6041324754.

Adding to 725613300 its reverse (3316527), we get a palindrome (728929827).

The spelling of 725613300 in words is "seven hundred twenty-five million, six hundred thirteen thousand, three hundred".