71198900 has 36 divisors (see below), whose sum is σ = 155659308. Its totient is φ = 28266240.

The previous prime is 71198863. The next prime is 71198917. The reversal of 71198900 is 989117.

It can be written as a sum of positive squares in 6 ways, for example, as 1008016 + 70190884 = 1004^2 + 8378^2 .

It is a super-2 number, since 2×71198900² = 10138566722420000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11102 + ... + 16298.

Almost surely, 2^71198900 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 71198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77829654).

71198900 is an abundant number, since it is smaller than the sum of its proper divisors (84460408).

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

71198900 is a wasteful number, since it uses less digits than its factorization.

71198900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 35.

The square root of 71198900 is about 8437.9440623887. The cubic root of 71198900 is about 414.4680851568.

The spelling of 71198900 in words is "seventy-one million, one hundred ninety-eight thousand, nine hundred".