71505252000 has 1728 divisors, whose sum is σ = 332194576896. Its totient is φ = 14233190400.

The previous prime is 71505251971. The next prime is 71505252011. The reversal of 71505252000 is 25250517.

It is a happy number.

71505252000 is a `hidden beast` number, since 71 + 50 + 525 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×71505252000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 979523964 + ... + 979524036.

It is an arithmetic number, because the mean of its divisors is an integer number (192242232).

Almost surely, 2^71505252000 is an apocalyptic number.

71505252000 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 71505252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166097288448).

71505252000 is an abundant number, since it is smaller than the sum of its proper divisors (260689324896).

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

71505252000 is a wasteful number, since it uses less digits than its factorization.

71505252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The spelling of 71505252000 in words is "seventy-one billion, five hundred five million, two hundred fifty-two thousand".