725512400 has 60 divisors (see below), whose sum is σ = 1845592812. Its totient is φ = 273131520.

The previous prime is 725512387. The next prime is 725512423. The reversal of 725512400 is 4215527.

725512400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 179776 + 725332624 = 424^2 + 26932^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 725512400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46547 + ... + 60146.

Almost surely, 2^725512400 is an apocalyptic number.

It is an amenable number.

725512400 is an abundant number, since it is smaller than the sum of its proper divisors (1120080412).

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

725512400 is a wasteful number, since it uses less digits than its factorization.

725512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106728 (or 106717 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 725512400 is about 26935.3373841873. The cubic root of 725512400 is about 898.5624788104.

Adding to 725512400 its reverse (4215527), we get a palindrome (729727927).

The spelling of 725512400 in words is "seven hundred twenty-five million, five hundred twelve thousand, four hundred".