71913707712000 has 5760 divisors, whose sum is σ = 356648631026688. Its totient is φ = 14255087616000.

The previous prime is 71913707711981. The next prime is 71913707712103. The reversal of 71913707712000 is 21770731917.

It is a happy number.

71913707712000 is a `hidden beast` number, since 7 + 1 + 9 + 1 + 370 + 7 + 71 + 200 + 0 = 666.

71913707712000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 192798143814 + ... + 192798144186.

Almost surely, 2^{71913707712000} is an apocalyptic number.

71913707712000 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 71913707712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178324315513344).

71913707712000 is an abundant number, since it is smaller than the sum of its proper divisors (284734923314688).

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

71913707712000 is a wasteful number, since it uses less digits than its factorization.

71913707712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 129654, while the sum is 45.

The spelling of 71913707712000 in words is "seventy-one trillion, nine hundred thirteen billion, seven hundred seven million, seven hundred twelve thousand".