71327268 has 36 divisors (see below), whose sum is σ = 185175900. Its totient is φ = 23132736.

The previous prime is 71327261. The next prime is 71327279. The reversal of 71327268 is 86272317.

71327268 is a `hidden beast` number, since 71 + 327 + 268 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26811684 + 44515584 = 5178^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (71327261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25443 + ... + 28106.

It is an arithmetic number, because the mean of its divisors is an integer number (5143775).

Almost surely, 2^71327268 is an apocalyptic number.

It is an amenable number.

71327268 is an abundant number, since it is smaller than the sum of its proper divisors (113848632).

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

71327268 is a wasteful number, since it uses less digits than its factorization.

71327268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53596 (or 53591 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 71327268 is about 8445.5472291616. The cubic root of 71327268 is about 414.7170239100.

It can be divided in two parts, 7132 and 7268, that added together give a square (14400 = 120²).

The spelling of 71327268 in words is "seventy-one million, three hundred twenty-seven thousand, two hundred sixty-eight".