71258880 has 288 divisors, whose sum is σ = 284917248. Its totient is φ = 14745600.

The previous prime is 71258867. The next prime is 71258893. The reversal of 71258880 is 8885217.

It is an interprime number because it is at equal distance from previous prime (71258867) and next prime (71258893).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295560 + ... + 295800.

It is an arithmetic number, because the mean of its divisors is an integer number (989296).

Almost surely, 2^71258880 is an apocalyptic number.

71258880 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 71258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142458624).

71258880 is an abundant number, since it is smaller than the sum of its proper divisors (213658368).

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

71258880 is a wasteful number, since it uses less digits than its factorization.

71258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 71258880 is about 8441.4974974823. The cubic root of 71258880 is about 414.5844390993.

The spelling of 71258880 in words is "seventy-one million, two hundred fifty-eight thousand, eight hundred eighty".