71052914592 has 144 divisors (see below), whose sum is σ = 224162134560. Its totient is φ = 21166195200.

The previous prime is 71052914579. The next prime is 71052914629. The reversal of 71052914592 is 29541925017.

71052914592 is a `hidden beast` number, since 7 + 1 + 0 + 52 + 9 + 1 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3159 + ... + 376982.

It is an arithmetic number, because the mean of its divisors is an integer number (1556681490).

Almost surely, 2^71052914592 is an apocalyptic number.

71052914592 is a gapful number since it is divisible by the number (72) 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 71052914592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112081067280).

71052914592 is an abundant number, since it is smaller than the sum of its proper divisors (153109219968).

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

71052914592 is a wasteful number, since it uses less digits than its factorization.

71052914592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380227 (or 380216 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 71052914592 in words is "seventy-one billion, fifty-two million, nine hundred fourteen thousand, five hundred ninety-two".