72198200 has 48 divisors (see below), whose sum is σ = 168437880. Its totient is φ = 28780160.

The previous prime is 72198199. The next prime is 72198209. The reversal of 72198200 is 289127.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72198209) by changing a digit.

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, 93014 + ... + 93786.

Almost surely, 2^72198200 is an apocalyptic number.

It is an amenable number.

72198200 is an abundant number, since it is smaller than the sum of its proper divisors (96239680).

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

72198200 is a wasteful number, since it uses less digits than its factorization.

72198200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 72198200 is about 8496.9523948296. The cubic root of 72198200 is about 416.3981487705.

The spelling of 72198200 in words is "seventy-two million, one hundred ninety-eight thousand, two hundred".