198216072 has 48 divisors (see below), whose sum is σ = 556723440. Its totient is φ = 66071376.

The previous prime is 198216071. The next prime is 198216079. The reversal of 198216072 is 270612891.

It is a super-2 number, since 2×198216072² = 78579222398218368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (198216071) 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, 49038 + ... + 52925.

It is an arithmetic number, because the mean of its divisors is an integer number (11598405).

Almost surely, 2^198216072 is an apocalyptic number.

198216072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198216072 is an abundant number, since it is smaller than the sum of its proper divisors (358507368).

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

198216072 is a wasteful number, since it uses less digits than its factorization.

198216072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101984 (or 101968 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 198216072 is about 14078.9229701707. The cubic root of 198216072 is about 583.0596065046.

The spelling of 198216072 in words is "one hundred ninety-eight million, two hundred sixteen thousand, seventy-two".