20073200 has 120 divisors (see below), whose sum is σ = 56460672. Its totient is φ = 6716160.

The previous prime is 20073199. The next prime is 20073211. The reversal of 20073200 is 237002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 187547 + ... + 187653.

Almost surely, 2^20073200 is an apocalyptic number.

20073200 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 20073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28230336).

20073200 is an abundant number, since it is smaller than the sum of its proper divisors (36387472).

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

20073200 is a wasteful number, since it uses less digits than its factorization.

20073200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 20073200 is about 4480.3124891016. The cubic root of 20073200 is about 271.7725174143.

The spelling of 20073200 in words is "twenty million, seventy-three thousand, two hundred".