71168400 has 180 divisors, whose sum is σ = 252308628. Its totient is φ = 18570240.

The previous prime is 71168399. The next prime is 71168413. The reversal of 71168400 is 486117.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2304 + 71166096 = 48^2 + 8436^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190614 + ... + 190986.

Almost surely, 2^71168400 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 71168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126154314).

71168400 is an abundant number, since it is smaller than the sum of its proper divisors (181140228).

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

71168400 is a wasteful number, since it uses less digits than its factorization.

71168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71168400 is about 8436.1365565050. The cubic root of 71168400 is about 414.4088937831.

The spelling of 71168400 in words is "seventy-one million, one hundred sixty-eight thousand, four hundred".