71168200 has 24 divisors (see below), whose sum is σ = 165466530. Its totient is φ = 28467200.

The previous prime is 71168197. The next prime is 71168203. The reversal of 71168200 is 286117.

It is an interprime number because it is at equal distance from previous prime (71168197) and next prime (71168203).

It can be written as a sum of positive squares in 3 ways, for example, as 68790436 + 2377764 = 8294^2 + 1542^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (71168203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 177721 + ... + 178120.

Almost surely, 2^71168200 is an apocalyptic number.

It is an amenable number.

71168200 is an abundant number, since it is smaller than the sum of its proper divisors (94298330).

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

71168200 is a wasteful number, since it uses less digits than its factorization.

71168200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355857 (or 355848 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 71168200 is about 8436.1247027293. The cubic root of 71168200 is about 414.4085055871.

The spelling of 71168200 in words is "seventy-one million, one hundred sixty-eight thousand, two hundred".