71961912000 has 896 divisors, whose sum is σ = 297617448960. Its totient is φ = 16865280000.

The previous prime is 71961911947. The next prime is 71961912019. The reversal of 71961912000 is 21916917.

71961912000 is a `hidden beast` number, since 7 + 19 + 619 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73655512 + ... + 73656488.

Almost surely, 2^71961912000 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 71961912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148808724480).

71961912000 is an abundant number, since it is smaller than the sum of its proper divisors (225655536960).

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

71961912000 is a wasteful number, since it uses less digits than its factorization.

71961912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 71961912000 in words is "seventy-one billion, nine hundred sixty-one million, nine hundred twelve thousand".