71308728691200 has 5760 divisors, whose sum is σ = 365521785108480. Its totient is φ = 13286434406400.

The previous prime is 71308728691169. The next prime is 71308728691201. The reversal of 71308728691200 is 219682780317.

It is a happy number.

71308728691200 is a `hidden beast` number, since 7 + 1 + 308 + 72 + 8 + 69 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (71308728691201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 115199884491 + ... + 115199885109.

It is an arithmetic number, because the mean of its divisors is an integer number (63458643248).

Almost surely, 2^{71308728691200} is an apocalyptic number.

71308728691200 is a gapful number since it is divisible by the number (70) 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 71308728691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182760892554240).

71308728691200 is an abundant number, since it is smaller than the sum of its proper divisors (294213056417280).

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

71308728691200 is a wasteful number, since it uses less digits than its factorization.

71308728691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 71308728691200 in words is "seventy-one trillion, three hundred eight billion, seven hundred twenty-eight million, six hundred ninety-one thousand, two hundred".