71080128 has 252 divisors, whose sum is σ = 251401072. Its totient is φ = 18800640.

The previous prime is 71080127. The next prime is 71080129. The reversal of 71080128 is 82108017.

It is an interprime number because it is at equal distance from previous prime (71080127) and next prime (71080129).

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71080123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1165218 + ... + 1165278.

Almost surely, 2^71080128 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 71080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125700536).

71080128 is an abundant number, since it is smaller than the sum of its proper divisors (180320944).

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

71080128 is a wasteful number, since it uses less digits than its factorization.

71080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 71080128 is about 8430.9031544669. The cubic root of 71080128 is about 414.2374888885.

The spelling of 71080128 in words is "seventy-one million, eighty thousand, one hundred twenty-eight".