71606721600 has 840 divisors, whose sum is σ = 274793308680. Its totient is φ = 18274222080.

The previous prime is 71606721569. The next prime is 71606721611. The reversal of 71606721600 is 612760617.

It can be written as a sum of positive squares in 12 ways, for example, as 1860024384 + 69746697216 = 43128^2 + 264096^2 .

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 119 ways as a sum of consecutive naturals, for example, 522676732 + ... + 522676868.

Almost surely, 2^71606721600 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 71606721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137396654340).

71606721600 is an abundant number, since it is smaller than the sum of its proper divisors (203186587080).

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

71606721600 is a wasteful number, since it uses less digits than its factorization.

71606721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 71606721600 in words is "seventy-one billion, six hundred six million, seven hundred twenty-one thousand, six hundred".