71011200 has 192 divisors, whose sum is σ = 252327600. Its totient is φ = 17448960.

The previous prime is 71011153. The next prime is 71011201. The reversal of 71011200 is 211017.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71011201) 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 23 ways as a sum of consecutive naturals, for example, 124516 + ... + 125084.

Almost surely, 2^71011200 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 71011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126163800).

71011200 is an abundant number, since it is smaller than the sum of its proper divisors (181316400).

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

71011200 is a wasteful number, since it uses less digits than its factorization.

71011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 71011200 is about 8426.8143446975. The cubic root of 71011200 is about 414.1035471115.

Adding to 71011200 its reverse (211017), we get a palindrome (71222217).

The spelling of 71011200 in words is "seventy-one million, eleven thousand, two hundred".