71132292 has 144 divisors (see below), whose sum is σ = 228114432. Its totient is φ = 18152640.

The previous prime is 71132287. The next prime is 71132293. The reversal of 71132292 is 29223117.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71132293) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 185533 + ... + 185915.

It is an arithmetic number, because the mean of its divisors is an integer number (1584128).

Almost surely, 2^71132292 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 71132292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114057216).

71132292 is an abundant number, since it is smaller than the sum of its proper divisors (156982140).

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

71132292 is a wasteful number, since it uses less digits than its factorization.

71132292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 71132292 is about 8433.9962058327. The cubic root of 71132292 is about 414.3387970937.

The spelling of 71132292 in words is "seventy-one million, one hundred thirty-two thousand, two hundred ninety-two".