71042160 has 160 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 16219392.

The previous prime is 71042123. The next prime is 71042171. The reversal of 71042160 is 6124017.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81889 + ... + 82751.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^71042160 is an apocalyptic number.

71042160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

71042160 is an abundant number, since it is smaller than the sum of its proper divisors (186084240).

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

71042160 is a wasteful number, since it uses less digits than its factorization.

71042160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 71042160 is about 8428.6511376376. The cubic root of 71042160 is about 414.1637196995.

Adding to 71042160 its reverse (6124017), we get a palindrome (77166177).

The spelling of 71042160 in words is "seventy-one million, forty-two thousand, one hundred sixty".