71315251200 has 504 divisors, whose sum is σ = 265097517048. Its totient is φ = 19004129280.

The previous prime is 71315251171. The next prime is 71315251229. The reversal of 71315251200 is 215251317.

71315251200 is a `hidden beast` number, since 7 + 13 + 1 + 525 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71315251171) and next prime (71315251229).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49765684 + ... + 49767116.

It is an arithmetic number, because the mean of its divisors is an integer number (525987137).

Almost surely, 2^71315251200 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 71315251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132548758524).

71315251200 is an abundant number, since it is smaller than the sum of its proper divisors (193782265848).

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

71315251200 is an equidigital number, since it uses as much as digits as its factorization.

71315251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 71315251200 in words is "seventy-one billion, three hundred fifteen million, two hundred fifty-one thousand, two hundred".