71242160 has 80 divisors (see below), whose sum is σ = 183336480. Its totient is φ = 25528320.

The previous prime is 71242117. The next prime is 71242163. The reversal of 71242160 is 6124217.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×71242160² = 10150890722931200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71242163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63686 + ... + 64794.

It is an arithmetic number, because the mean of its divisors is an integer number (2291706).

Almost surely, 2^71242160 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 71242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91668240).

71242160 is an abundant number, since it is smaller than the sum of its proper divisors (112094320).

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

71242160 is a wasteful number, since it uses less digits than its factorization.

71242160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 71242160 is about 8440.5070937711. The cubic root of 71242160 is about 414.5520108880.

Adding to 71242160 its reverse (6124217), we get a palindrome (77366377).

The spelling of 71242160 in words is "seventy-one million, two hundred forty-two thousand, one hundred sixty".