71712838080 has 1176 divisors, whose sum is σ = 296293745232. Its totient is φ = 16458743808.

The previous prime is 71712838069. The next prime is 71712838091. The reversal of 71712838080 is 8083821717.

71712838080 is a `hidden beast` number, since 7 + 171 + 28 + 380 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (71712838069) and next prime (71712838091).

It is a super-2 number, since 2×71712838080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 670213387 + ... + 670213493.

Almost surely, 2^71712838080 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 71712838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148146872616).

71712838080 is an abundant number, since it is smaller than the sum of its proper divisors (224580907152).

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

71712838080 is a wasteful number, since it uses less digits than its factorization.

71712838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 71712838080 in words is "seventy-one billion, seven hundred twelve million, eight hundred thirty-eight thousand, eighty".