71447132160 has 672 divisors, whose sum is σ = 272632061520. Its totient is φ = 17899978752.

The previous prime is 71447132137. The next prime is 71447132161. The reversal of 71447132160 is 6123174417.

71447132160 is a `hidden beast` number, since 71 + 447 + 132 + 16 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71447132161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 126904039 + ... + 126904601.

Almost surely, 2^71447132160 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 71447132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136316030760).

71447132160 is an abundant number, since it is smaller than the sum of its proper divisors (201184929360).

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

71447132160 is an equidigital number, since it uses as much as digits as its factorization.

71447132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 71447132160 in words is "seventy-one billion, four hundred forty-seven million, one hundred thirty-two thousand, one hundred sixty".