20772200 has 48 divisors (see below), whose sum is σ = 48598080. Its totient is φ = 8256960.

The previous prime is 20772173. The next prime is 20772203. The reversal of 20772200 is 227702.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20772203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56417 + ... + 56783.

It is an arithmetic number, because the mean of its divisors is an integer number (1012460).

Almost surely, 2^20772200 is an apocalyptic number.

20772200 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 20772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24299040).

20772200 is an abundant number, since it is smaller than the sum of its proper divisors (27825880).

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

20772200 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (20772199) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (666).

20772200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 20772200 is about 4557.6529047307. The cubic root of 20772200 is about 274.8911966272.

Adding to 20772200 its reverse (227702), we get a palindrome (20999902).

The spelling of 20772200 in words is "twenty million, seven hundred seventy-two thousand, two hundred".