71352144720 has 120 divisors (see below), whose sum is σ = 242906989416. Its totient is φ = 18766577664.

The previous prime is 71352144719. The next prime is 71352144757. The reversal of 71352144720 is 2744125317.

71352144720 is a `hidden beast` number, since 71 + 3 + 521 + 4 + 47 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107993664 + 71244151056 = 10392^2 + 266916^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×71352144720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 626209 + ... + 731328.

Almost surely, 2^71352144720 is an apocalyptic number.

It is an amenable number.

71352144720 is an abundant number, since it is smaller than the sum of its proper divisors (171554844696).

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

71352144720 is a wasteful number, since it uses less digits than its factorization.

71352144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357629 (or 1357620 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 71352144720 in words is "seventy-one billion, three hundred fifty-two million, one hundred forty-four thousand, seven hundred twenty".