71225705760 has 192 divisors, whose sum is σ = 246261980160. Its totient is φ = 17160698880.

The previous prime is 71225705743. The next prime is 71225705777. The reversal of 71225705760 is 6750752217.

It is an interprime number because it is at equal distance from previous prime (71225705743) and next prime (71225705777).

It is a super-2 number, since 2×71225705760² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 819261 + ... + 902019.

It is an arithmetic number, because the mean of its divisors is an integer number (1282614480).

Almost surely, 2^71225705760 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 71225705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123130990080).

71225705760 is an abundant number, since it is smaller than the sum of its proper divisors (175036274400).

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

71225705760 is a wasteful number, since it uses less digits than its factorization.

71225705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82951 (or 82943 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 71225705760 in words is "seventy-one billion, two hundred twenty-five million, seven hundred five thousand, seven hundred sixty".