727001144320 has 176 divisors, whose sum is σ = 1918232826336. Its totient is φ = 264361574400.

The previous prime is 727001144239. The next prime is 727001144323. The reversal of 727001144320 is 23441100727.

It is a tau number, because it is divible by the number of its divisors (176).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727001144323) 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 15 ways as a sum of consecutive naturals, for example, 6761380 + ... + 6868060.

Almost surely, 2^727001144320 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 727001144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959116413168).

727001144320 is an abundant number, since it is smaller than the sum of its proper divisors (1191231682016).

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

727001144320 is a wasteful number, since it uses less digits than its factorization.

727001144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106739 (or 106699 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 727001144320 in words is "seven hundred twenty-seven billion, one million, one hundred forty-four thousand, three hundred twenty".