20772000 has 144 divisors (see below), whose sum is σ = 73847592. Its totient is φ = 5529600.

The previous prime is 20771987. The next prime is 20772019. The reversal of 20772000 is 27702.

It can be written as a sum of positive squares in 4 ways, for example, as 13220496 + 7551504 = 3636^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 35712 + ... + 36288.

Almost surely, 2^20772000 is an apocalyptic number.

20772000 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 20772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36923796).

20772000 is an abundant number, since it is smaller than the sum of its proper divisors (53075592).

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

20772000 is a wasteful number, since it uses less digits than its factorization.

20772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 20772000 is about 4557.6309635599. The cubic root of 20772000 is about 274.8903143837.

Adding to 20772000 its reverse (27702), we get a palindrome (20799702).

The spelling of 20772000 in words is "twenty million, seven hundred seventy-two thousand".