71381300 has 72 divisors (see below), whose sum is σ = 165614400. Its totient is φ = 26611200.

The previous prime is 71381279. The next prime is 71381329. The reversal of 71381300 is 318317.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338195 + ... + 338405.

It is an arithmetic number, because the mean of its divisors is an integer number (2300200).

Almost surely, 2^71381300 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 71381300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82807200).

71381300 is an abundant number, since it is smaller than the sum of its proper divisors (94233100).

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

71381300 is a wasteful number, since it uses less digits than its factorization.

71381300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 71381300 is about 8448.7454690031. The cubic root of 71381300 is about 414.8217166176.

Adding to 71381300 its reverse (318317), we get a palindrome (71699617).

The spelling of 71381300 in words is "seventy-one million, three hundred eighty-one thousand, three hundred".