200032 has 48 divisors (see below), whose sum is σ = 483840. Its totient is φ = 79488.

The previous prime is 200029. The next prime is 200033. The reversal of 200032 is 230002.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 199988 and 200024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4233 + ... + 4279.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2²⁰⁰⁰³² is an apocalyptic number.

200032 is the 224-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

200032 is an abundant number, since it is smaller than the sum of its proper divisors (283808).

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

200032 is a wasteful number, since it uses less digits than its factorization.

200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 200032 is about 447.2493711566. The cubic root of 200032 is about 58.4834735502.

Adding to 200032 its reverse (230002), we get a palindrome (430034).

It can be divided in two parts, 2000 and 32, that multiplied together give a cube (64000 = 40³).

The spelling of 200032 in words is "two hundred thousand, thirty-two".