725610600 has 288 divisors, whose sum is σ = 2863879200. Its totient is φ = 162316800.

The previous prime is 725610577. The next prime is 725610607. The reversal of 725610600 is 6016527.

725610600 is a `hidden beast` number, since 7 + 2 + 56 + 1 + 0 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (725610607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255991 + ... + 258809.

It is an arithmetic number, because the mean of its divisors is an integer number (9944025).

Almost surely, 2^725610600 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 725610600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431939600).

725610600 is an abundant number, since it is smaller than the sum of its proper divisors (2138268600).

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

725610600 is a wasteful number, since it uses less digits than its factorization.

725610600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 725610600 is about 26937.1602066736. The cubic root of 725610600 is about 898.6030179083.

The spelling of 725610600 in words is "seven hundred twenty-five million, six hundred ten thousand, six hundred".