71836604161920 has 2304 divisors, whose sum is σ = 301884411628800. Its totient is φ = 16251301527552.

The previous prime is 71836604161897. The next prime is 71836604161967. The reversal of 71836604161920 is 2916140663817.

71836604161920 is a `hidden beast` number, since 7 + 1 + 8 + 3 + 6 + 604 + 1 + 6 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19212783411 + ... + 19212787149.

It is an arithmetic number, because the mean of its divisors is an integer number (131026220325).

Almost surely, 2^{71836604161920} 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 71836604161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150942205814400).

71836604161920 is an abundant number, since it is smaller than the sum of its proper divisors (230047807466880).

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

71836604161920 is a wasteful number, since it uses less digits than its factorization.

71836604161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 71836604161920 in words is "seventy-one trillion, eight hundred thirty-six billion, six hundred four million, one hundred sixty-one thousand, nine hundred twenty".