71288160 has 48 divisors (see below), whose sum is σ = 224559216. Its totient is φ = 19010048.

The previous prime is 71288153. The next prime is 71288263. The reversal of 71288160 is 6188217.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73779 + ... + 74738.

It is an arithmetic number, because the mean of its divisors is an integer number (4678317).

Almost surely, 2^71288160 is an apocalyptic number.

It is an amenable number.

71288160 is an abundant number, since it is smaller than the sum of its proper divisors (153271056).

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

71288160 is a wasteful number, since it uses less digits than its factorization.

71288160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148535 (or 148527 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 71288160 is about 8443.2316088095. The cubic root of 71288160 is about 414.6412150414.

The spelling of 71288160 in words is "seventy-one million, two hundred eighty-eight thousand, one hundred sixty".