71887021017952 has 192 divisors, whose sum is σ = 166481104204800. Its totient is φ = 29915450966016.

The previous prime is 71887021017949. The next prime is 71887021017971. The reversal of 71887021017952 is 25971012078817.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2332691248 + ... + 2332722064.

It is an arithmetic number, because the mean of its divisors is an integer number (867089084400).

Almost surely, 2^{71887021017952} 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 71887021017952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83240552102400).

71887021017952 is an abundant number, since it is smaller than the sum of its proper divisors (94594083186848).

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

71887021017952 is a wasteful number, since it uses less digits than its factorization.

71887021017952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32293 (or 32285 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 58.

The spelling of 71887021017952 in words is "seventy-one trillion, eight hundred eighty-seven billion, twenty-one million, seventeen thousand, nine hundred fifty-two".