71128080 has 120 divisors (see below), whose sum is σ = 240484608. Its totient is φ = 18839808.

The previous prime is 71128049. The next prime is 71128081. The reversal of 71128080 is 8082117.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×71128080⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (71128081) 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, 160339 + ... + 160781.

Almost surely, 2^71128080 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 71128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120242304).

71128080 is an abundant number, since it is smaller than the sum of its proper divisors (169356528).

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

71128080 is a wasteful number, since it uses less digits than its factorization.

71128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

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

The square root of 71128080 is about 8433.7464984430. The cubic root of 71128080 is about 414.3306187666.

The spelling of 71128080 in words is "seventy-one million, one hundred twenty-eight thousand, eighty".