198972072000 has 896 divisors, whose sum is σ = 800151206400. Its totient is φ = 48107520000.

The previous prime is 198972071983. The next prime is 198972072043. The reversal of 198972072000 is 270279891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165671400 + ... + 165672600.

It is an arithmetic number, because the mean of its divisors is an integer number (893025900).

Almost surely, 2^198972072000 is an apocalyptic number.

198972072000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198972072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400075603200).

198972072000 is an abundant number, since it is smaller than the sum of its proper divisors (601179134400).

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

198972072000 is a wasteful number, since it uses less digits than its factorization.

198972072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 198972072000 in words is "one hundred ninety-eight billion, nine hundred seventy-two million, seventy-two thousand".