20218272 has 48 divisors (see below), whose sum is σ = 54214272. Its totient is φ = 6594560.

The previous prime is 20218271. The next prime is 20218291. The reversal of 20218272 is 27281202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20218271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2272 + ... + 6752.

It is an arithmetic number, because the mean of its divisors is an integer number (1129464).

Almost surely, 2^20218272 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 20218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107136).

20218272 is an abundant number, since it is smaller than the sum of its proper divisors (33996000).

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

20218272 is a wasteful number, since it uses less digits than its factorization.

20218272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20218272 is about 4496.4732846977. The cubic root of 20218272 is about 272.4256599390.

Adding to 20218272 its reverse (27281202), we get a palindrome (47499474).

The spelling of 20218272 in words is "twenty million, two hundred eighteen thousand, two hundred seventy-two".