71675910432 has 144 divisors (see below), whose sum is σ = 233029585152. Its totient is φ = 20471546880.

The previous prime is 71675910431. The next prime is 71675910461. The reversal of 71675910432 is 23401957617.

71675910432 is a `hidden beast` number, since 7 + 16 + 7 + 591 + 0 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×71675910432² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71675910431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8497257 + ... + 8505687.

It is an arithmetic number, because the mean of its divisors is an integer number (1618261008).

Almost surely, 2^71675910432 is an apocalyptic number.

71675910432 is a gapful number since it is divisible by the number (72) 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 71675910432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116514792576).

71675910432 is an abundant number, since it is smaller than the sum of its proper divisors (161353674720).

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

71675910432 is a wasteful number, since it uses less digits than its factorization.

71675910432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12671 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 71675910432 in words is "seventy-one billion, six hundred seventy-five million, nine hundred ten thousand, four hundred thirty-two".