20752200 has 288 divisors, whose sum is σ = 83952960. Its totient is φ = 4665600.

The previous prime is 20752169. The next prime is 20752217. The reversal of 20752200 is 225702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340170 + ... + 340230.

Almost surely, 2^20752200 is an apocalyptic number.

20752200 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 20752200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41976480).

20752200 is an abundant number, since it is smaller than the sum of its proper divisors (63200760).

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

20752200 is a wasteful number, since it uses less digits than its factorization.

20752200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20752200 is about 4555.4582645438. The cubic root of 20752200 is about 274.8029442296.

Adding to 20752200 its reverse (225702), we get a palindrome (20977902).

The spelling of 20752200 in words is "twenty million, seven hundred fifty-two thousand, two hundred".