200972160 has 384 divisors, whose sum is σ = 761866560. Its totient is φ = 48660480.

The previous prime is 200972159. The next prime is 200972171. The reversal of 200972160 is 61279002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4901740 + ... + 4901780.

Almost surely, 2^200972160 is an apocalyptic number.

200972160 is a gapful number since it is divisible by the number (20) 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 200972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380933280).

200972160 is an abundant number, since it is smaller than the sum of its proper divisors (560894400).

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

200972160 is a wasteful number, since it uses less digits than its factorization.

200972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 200972160 is about 14176.4650036601. The cubic root of 200972160 is about 585.7495542061.

The spelling of 200972160 in words is "two hundred million, nine hundred seventy-two thousand, one hundred sixty".