71261280 has 288 divisors, whose sum is σ = 267478848. Its totient is φ = 17203200.

The previous prime is 71261273. The next prime is 71261317. The reversal of 71261280 is 8216217.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003645 + ... + 1003715.

It is an arithmetic number, because the mean of its divisors is an integer number (928746).

Almost surely, 2^71261280 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 71261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739424).

71261280 is an abundant number, since it is smaller than the sum of its proper divisors (196217568).

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

71261280 is a wasteful number, since it uses less digits than its factorization.

71261280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71261280 is about 8441.6396511578. The cubic root of 71261280 is about 414.5890934502.

Adding to 71261280 its reverse (8216217), we get a palindrome (79477497).

The spelling of 71261280 in words is "seventy-one million, two hundred sixty-one thousand, two hundred eighty".