71214400 has 84 divisors (see below), whose sum is σ = 179149248. Its totient is φ = 27850240.

The previous prime is 71214397. The next prime is 71214419. The reversal of 71214400 is 441217.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 74727 + ... + 75673.

Almost surely, 2^71214400 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 71214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89574624).

71214400 is an abundant number, since it is smaller than the sum of its proper divisors (107934848).

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

71214400 is a wasteful number, since it uses less digits than its factorization.

71214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 71214400 is about 8438.8624825861. The cubic root of 71214400 is about 414.4981595409.

Adding to 71214400 its reverse (441217), we get a palindrome (71655617).

The spelling of 71214400 in words is "seventy-one million, two hundred fourteen thousand, four hundred".