71712081672 has 384 divisors, whose sum is σ = 240028185600. Its totient is φ = 17425774080.

The previous prime is 71712081641. The next prime is 71712081713. The reversal of 71712081672 is 27618021717.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32056138 + ... + 32058374.

It is an arithmetic number, because the mean of its divisors is an integer number (625073400).

Almost surely, 2^71712081672 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 71712081672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120014092800).

71712081672 is an abundant number, since it is smaller than the sum of its proper divisors (168316103928).

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

71712081672 is a wasteful number, since it uses less digits than its factorization.

71712081672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 42.

The spelling of 71712081672 in words is "seventy-one billion, seven hundred twelve million, eighty-one thousand, six hundred seventy-two".