725305675556 has 432 divisors, whose sum is σ = 1832517292032. Its totient is φ = 247623868800.

The previous prime is 725305675553. The next prime is 725305675583. The reversal of 725305675556 is 655576503527.

It is not an unprimeable number, because it can be changed into a prime (725305675553) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 554938655 + ... + 554939961.

It is an arithmetic number, because the mean of its divisors is an integer number (4241938176).

Almost surely, 2^725305675556 is an apocalyptic number.

725305675556 is a gapful number since it is divisible by the number (76) 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 725305675556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916258646016).

725305675556 is an abundant number, since it is smaller than the sum of its proper divisors (1107211616476).

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

725305675556 is a wasteful number, since it uses less digits than its factorization.

725305675556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 33075000, while the sum is 56.

The spelling of 725305675556 in words is "seven hundred twenty-five billion, three hundred five million, six hundred seventy-five thousand, five hundred fifty-six".