727152691200 has 1152 divisors, whose sum is σ = 2751663882240. Its totient is φ = 168040857600.

The previous prime is 727152691171. The next prime is 727152691207. The reversal of 727152691200 is 2196251727.

It is not an unprimeable number, because it can be changed into a prime (727152691207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3260774289 + ... + 3260774511.

It is an arithmetic number, because the mean of its divisors is an integer number (2388597120).

Almost surely, 2^727152691200 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 727152691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375831941120).

727152691200 is an abundant number, since it is smaller than the sum of its proper divisors (2024511191040).

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

727152691200 is a wasteful number, since it uses less digits than its factorization.

727152691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 727152691200 in words is "seven hundred twenty-seven billion, one hundred fifty-two million, six hundred ninety-one thousand, two hundred".