71352720072144 has 360 divisors, whose sum is σ = 236267944848000. Its totient is φ = 20037556611072.

The previous prime is 71352720072119. The next prime is 71352720072149. The reversal of 71352720072144 is 44127002725317.

71352720072144 is a `hidden beast` number, since 7 + 13 + 527 + 2 + 0 + 0 + 72 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71352720072144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71352720072149) 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 71 ways as a sum of consecutive naturals, for example, 3417429097 + ... + 3417449975.

It is an arithmetic number, because the mean of its divisors is an integer number (656299846800).

Almost surely, 2^{71352720072144} 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 71352720072144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118133972424000).

71352720072144 is an abundant number, since it is smaller than the sum of its proper divisors (164915224775856).

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

71352720072144 is a wasteful number, since it uses less digits than its factorization.

71352720072144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29175 (or 29159 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 71352720072144 in words is "seventy-one trillion, three hundred fifty-two billion, seven hundred twenty million, seventy-two thousand, one hundred forty-four".