725619347200 has 216 divisors, whose sum is σ = 2026863553680. Its totient is φ = 254762188800.

The previous prime is 725619347191. The next prime is 725619347203. The reversal of 725619347200 is 2743916527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725619347203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1863892 + ... + 2219308.

Almost surely, 2^725619347200 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 725619347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013431776840).

725619347200 is an abundant number, since it is smaller than the sum of its proper divisors (1301244206480).

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

725619347200 is a wasteful number, since it uses less digits than its factorization.

725619347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355483 (or 355464 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 725619347200 in words is "seven hundred twenty-five billion, six hundred nineteen million, three hundred forty-seven thousand, two hundred".