71512520100 has 288 divisors, whose sum is σ = 239696658432. Its totient is φ = 16124160000.

The previous prime is 71512520077. The next prime is 71512520113. The reversal of 71512520100 is 102521517.

It is a super-2 number, since 2×71512520100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52543420 + ... + 52544780.

It is an arithmetic number, because the mean of its divisors is an integer number (832280064).

Almost surely, 2^71512520100 is an apocalyptic number.

71512520100 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 71512520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119848329216).

71512520100 is an abundant number, since it is smaller than the sum of its proper divisors (168184138332).

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

71512520100 is a wasteful number, since it uses less digits than its factorization.

71512520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The spelling of 71512520100 in words is "seventy-one billion, five hundred twelve million, five hundred twenty thousand, one hundred".