71332000 has 96 divisors (see below), whose sum is σ = 185749200. Its totient is φ = 26828800.

The previous prime is 71331991. The next prime is 71332007. The reversal of 71332000 is 23317.

It can be written as a sum of positive squares in 8 ways, for example, as 20466576 + 50865424 = 4524^2 + 7132^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (71332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67476 + ... + 68524.

Almost surely, 2^71332000 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 71332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92874600).

71332000 is an abundant number, since it is smaller than the sum of its proper divisors (114417200).

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

71332000 is a wasteful number, since it uses less digits than its factorization.

71332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 71332000 is about 8445.8273721406. The cubic root of 71332000 is about 414.7261947718.

Adding to 71332000 its reverse (23317), we get a palindrome (71355317).

The spelling of 71332000 in words is "seventy-one million, three hundred thirty-two thousand".