20761272 has 160 divisors (see below), whose sum is σ = 69696000. Its totient is φ = 5645376.

The previous prime is 20761271. The next prime is 20761291. The reversal of 20761272 is 27216702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20761271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104229 + ... + 104427.

It is an arithmetic number, because the mean of its divisors is an integer number (435600).

Almost surely, 2^20761272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20761272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34848000).

20761272 is an abundant number, since it is smaller than the sum of its proper divisors (48934728).

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

20761272 is a wasteful number, since it uses less digits than its factorization.

20761272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20761272 is about 4556.4538843272. The cubic root of 20761272 is about 274.8429825407.

Adding to 20761272 its reverse (27216702), we get a palindrome (47977974).

The spelling of 20761272 in words is "twenty million, seven hundred sixty-one thousand, two hundred seventy-two".