71133360 has 80 divisors (see below), whose sum is σ = 225923040. Its totient is φ = 18503680.

The previous prime is 71133343. The next prime is 71133379. The reversal of 71133360 is 6333117.

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 71133360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6226 + ... + 13454.

It is an arithmetic number, because the mean of its divisors is an integer number (2824038).

Almost surely, 2^71133360 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 71133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112961520).

71133360 is an abundant number, since it is smaller than the sum of its proper divisors (154789680).

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

71133360 is a wasteful number, since it uses less digits than its factorization.

71133360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 71133360 is about 8434.0595207765. The cubic root of 71133360 is about 414.3408707493.

Adding to 71133360 its reverse (6333117), we get a palindrome (77466477).

The spelling of 71133360 in words is "seventy-one million, one hundred thirty-three thousand, three hundred sixty".