727326120744 has 192 divisors, whose sum is σ = 2075078154240. Its totient is φ = 238639608000.

The previous prime is 727326120743. The next prime is 727326120761. The reversal of 727326120744 is 447021623727.

727326120744 is a `hidden beast` number, since 7 + 27 + 3 + 2 + 612 + 0 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×727326120744² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 727326120744.

It is not an unprimeable number, because it can be changed into a prime (727326120743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33427869 + ... + 33449619.

It is an arithmetic number, because the mean of its divisors is an integer number (10807698720).

Almost surely, 2^727326120744 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 727326120744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037539077120).

727326120744 is an abundant number, since it is smaller than the sum of its proper divisors (1347752033496).

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

727326120744 is a wasteful number, since it uses less digits than its factorization.

727326120744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22042 (or 22026 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 727326120744 in words is "seven hundred twenty-seven billion, three hundred twenty-six million, one hundred twenty thousand, seven hundred forty-four".