725068800 has 264 divisors, whose sum is σ = 2665194000. Its totient is φ = 193167360.

The previous prime is 725068793. The next prime is 725068807. The reversal of 725068800 is 8860527.

725068800 is a `hidden beast` number, since 72 + 506 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (725068793) and next prime (725068807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (725068807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690676 + ... + 691724.

Almost surely, 2^725068800 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 725068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332597000).

725068800 is an abundant number, since it is smaller than the sum of its proper divisors (1940125200).

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

725068800 is a wasteful number, since it uses less digits than its factorization.

725068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 725068800 is about 26927.1015892910. The cubic root of 725068800 is about 898.3793054732.

The spelling of 725068800 in words is "seven hundred twenty-five million, sixty-eight thousand, eight hundred".