725856768 has 320 divisors, whose sum is σ = 2648997120. Its totient is φ = 191102976.

The previous prime is 725856757. The next prime is 725856779. The reversal of 725856768 is 867658527.

725856768 is a `hidden beast` number, since 72 + 5 + 8 + 567 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (725856757) and next prime (725856779).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257696 + ... + 1258272.

It is an arithmetic number, because the mean of its divisors is an integer number (8278116).

Almost surely, 2^725856768 is an apocalyptic number.

725856768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324498560).

725856768 is an abundant number, since it is smaller than the sum of its proper divisors (1923140352).

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

725856768 is a wasteful number, since it uses less digits than its factorization.

725856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 602 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 725856768 is about 26941.7291204555. The cubic root of 725856768 is about 898.7046253439.

The spelling of 725856768 in words is "seven hundred twenty-five million, eight hundred fifty-six thousand, seven hundred sixty-eight".