727389975312 has 960 divisors, whose sum is σ = 2926372700160. Its totient is φ = 168745420800.

The previous prime is 727389975293. The next prime is 727389975317. The reversal of 727389975312 is 213579983727.

727389975312 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 8 + 9 + 97 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 727389975312.

It is not an unprimeable number, because it can be changed into a prime (727389975317) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120645514 + ... + 120651542.

It is an arithmetic number, because the mean of its divisors is an integer number (3048304896).

Almost surely, 2^727389975312 is an apocalyptic number.

727389975312 is a gapful number since it is divisible by the number (72) 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 727389975312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463186350080).

727389975312 is an abundant number, since it is smaller than the sum of its proper divisors (2198982724848).

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

727389975312 is a wasteful number, since it uses less digits than its factorization.

727389975312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6096 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 727389975312 in words is "seven hundred twenty-seven billion, three hundred eighty-nine million, nine hundred seventy-five thousand, three hundred twelve".