71532121500 has 576 divisors, whose sum is σ = 274253091840. Its totient is φ = 15331161600.

The previous prime is 71532121417. The next prime is 71532121513. The reversal of 71532121500 is 512123517.

71532121500 is a `hidden beast` number, since 7 + 1 + 5 + 32 + 121 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64038942 + ... + 64040058.

It is an arithmetic number, because the mean of its divisors is an integer number (476133840).

Almost surely, 2^71532121500 is an apocalyptic number.

71532121500 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 71532121500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137126545920).

71532121500 is an abundant number, since it is smaller than the sum of its proper divisors (202720970340).

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

71532121500 is a wasteful number, since it uses less digits than its factorization.

71532121500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1260 counting only the distinct ones).

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

The spelling of 71532121500 in words is "seventy-one billion, five hundred thirty-two million, one hundred twenty-one thousand, five hundred".