71125171200 has 528 divisors, whose sum is σ = 276601448160. Its totient is φ = 17848074240.

The previous prime is 71125171199. The next prime is 71125171237. The reversal of 71125171200 is 217152117.

It is a super-3 number, since 3×71125171200³ (a number of 34 digits) contains 333 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11747374 + ... + 11753426.

Almost surely, 2^71125171200 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 71125171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138300724080).

71125171200 is an abundant number, since it is smaller than the sum of its proper divisors (205476276960).

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

71125171200 is a wasteful number, since it uses less digits than its factorization.

71125171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The spelling of 71125171200 in words is "seventy-one billion, one hundred twenty-five million, one hundred seventy-one thousand, two hundred".