71126400 has 192 divisors, whose sum is σ = 242841600. Its totient is φ = 18278400.

The previous prime is 71126383. The next prime is 71126401. The reversal of 71126400 is 462117.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71126401) 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, 297481 + ... + 297719.

It is an arithmetic number, because the mean of its divisors is an integer number (1264800).

Almost surely, 2^71126400 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 71126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

71126400 is an abundant number, since it is smaller than the sum of its proper divisors (171715200).

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

71126400 is a wasteful number, since it uses less digits than its factorization.

71126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 71126400 is about 8433.6468979914. The cubic root of 71126400 is about 414.3273566657.

Adding to 71126400 its reverse (462117), we get a palindrome (71588517).

The spelling of 71126400 in words is "seventy-one million, one hundred twenty-six thousand, four hundred".