71318400 has 384 divisors, whose sum is σ = 273196800. Its totient is φ = 16220160.

The previous prime is 71318399. The next prime is 71318437. The reversal of 71318400 is 481317.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3100789 + ... + 3100811.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^71318400 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 71318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

71318400 is an abundant number, since it is smaller than the sum of its proper divisors (201878400).

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

71318400 is a wasteful number, since it uses less digits than its factorization.

71318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 71318400 is about 8445.0222024575. The cubic root of 71318400 is about 414.6998361729.

Adding to 71318400 its reverse (481317), we get a palindrome (71799717).

The spelling of 71318400 in words is "seventy-one million, three hundred eighteen thousand, four hundred".