727128423120 has 160 divisors (see below), whose sum is σ = 2466105730560. Its totient is φ = 175765342720.

The previous prime is 727128423103. The next prime is 727128423121. The reversal of 727128423120 is 21324821727.

It is a super-3 number, since 3×727128423120³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727128423121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519211 + ... + 1312949.

It is an arithmetic number, because the mean of its divisors is an integer number (15413160816).

Almost surely, 2^727128423120 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 727128423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233052865280).

727128423120 is an abundant number, since it is smaller than the sum of its proper divisors (1738977307440).

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

727128423120 is a wasteful number, since it uses less digits than its factorization.

727128423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794113 (or 794107 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 727128423120 in words is "seven hundred twenty-seven billion, one hundred twenty-eight million, four hundred twenty-three thousand, one hundred twenty".