71305080 has 128 divisors (see below), whose sum is σ = 266734080. Its totient is φ = 14814720.

The previous prime is 71305067. The next prime is 71305093. The reversal of 71305080 is 8050317.

It is an interprime number because it is at equal distance from previous prime (71305067) and next prime (71305093).

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 71305080.

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, 5382 + ... + 13098.

It is an arithmetic number, because the mean of its divisors is an integer number (2083860).

Almost surely, 2^71305080 is an apocalyptic number.

71305080 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 71305080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133367040).

71305080 is an abundant number, since it is smaller than the sum of its proper divisors (195429000).

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

71305080 is a wasteful number, since it uses less digits than its factorization.

71305080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 71305080 is about 8444.2335353779. The cubic root of 71305080 is about 414.6740170026.

Adding to 71305080 its reverse (8050317), we get a palindrome (79355397).

The spelling of 71305080 in words is "seventy-one million, three hundred five thousand, eighty".