71271090 has 160 divisors (see below), whose sum is σ = 220587840. Its totient is φ = 16329600.

The previous prime is 71271073. The next prime is 71271097. The reversal of 71271090 is 9017217.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71271097) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 169080 + ... + 169500.

It is an arithmetic number, because the mean of its divisors is an integer number (1378674).

Almost surely, 2^71271090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71271090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110293920).

71271090 is an abundant number, since it is smaller than the sum of its proper divisors (149316750).

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

71271090 is a wasteful number, since it uses less digits than its factorization.

71271090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 71271090 is about 8442.2206794184. The cubic root of 71271090 is about 414.6081170227.

The spelling of 71271090 in words is "seventy-one million, two hundred seventy-one thousand, ninety".