71241360 has 80 divisors (see below), whose sum is σ = 223110720. Its totient is φ = 18803200.

The previous prime is 71241343. The next prime is 71241361. The reversal of 71241360 is 6314217.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71241360.

It is not an unprimeable number, because it can be changed into a prime (71241361) 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, 22771 + ... + 25709.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2^71241360 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 71241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111555360).

71241360 is an abundant number, since it is smaller than the sum of its proper divisors (151869360).

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

71241360 is a wasteful number, since it uses less digits than its factorization.

71241360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 71241360 is about 8440.4597031204. The cubic root of 71241360 is about 414.5504591718.

Adding to 71241360 its reverse (6314217), we get a palindrome (77555577).

The spelling of 71241360 in words is "seventy-one million, two hundred forty-one thousand, three hundred sixty".