71183268 has 72 divisors (see below), whose sum is σ = 196068600. Its totient is φ = 21643776.

The previous prime is 71183263. The next prime is 71183269. The reversal of 71183268 is 86238117.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 69856164 = 1152^2 + 8358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71183263) 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 23 ways as a sum of consecutive naturals, for example, 40798 + ... + 42506.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^71183268 is an apocalyptic number.

71183268 is a gapful number since it is divisible by the number (78) 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 71183268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

71183268 is an abundant number, since it is smaller than the sum of its proper divisors (124885332).

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

71183268 is a wasteful number, since it uses less digits than its factorization.

71183268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1816 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 71183268 is about 8437.0177195500. The cubic root of 71183268 is about 414.4377502344.

The spelling of 71183268 in words is "seventy-one million, one hundred eighty-three thousand, two hundred sixty-eight".