14200032 has 192 divisors, whose sum is σ = 49641984. Its totient is φ = 3440640.

The previous prime is 14200031. The next prime is 14200037. The reversal of 14200032 is 23000241.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14199990 and 14200017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200031) 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 31 ways as a sum of consecutive naturals, for example, 125608 + ... + 125720.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 2^14200032 is an apocalyptic number.

14200032 is a gapful number since it is divisible by the number (12) 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 14200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992).

14200032 is an abundant number, since it is smaller than the sum of its proper divisors (35441952).

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

14200032 is a wasteful number, since it uses less digits than its factorization.

14200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 14200032 is about 3768.2929822401. The cubic root of 14200032 is about 242.1566729018.

Adding to 14200032 its reverse (23000241), we get a palindrome (37200273).

The spelling of 14200032 in words is "fourteen million, two hundred thousand, thirty-two".