20259072 has 90 divisors (see below), whose sum is σ = 60470718. Its totient is φ = 6746112.

The previous prime is 20259061. The next prime is 20259077. The reversal of 20259072 is 27095202.

It is a happy number.

20259072 is a `hidden beast` number, since 2 + 0 + 2 + 590 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19927296 + 331776 = 4464^2 + 576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20259077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20248 + ... + 21224.

Almost surely, 2^20259072 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 20259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30235359).

20259072 is an abundant number, since it is smaller than the sum of its proper divisors (40211646).

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

20259072 is an frugal number, since it uses more digits than its factorization.

20259072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20259072 is about 4501.0078871293. The cubic root of 20259072 is about 272.6087863492.

The spelling of 20259072 in words is "twenty million, two hundred fifty-nine thousand, seventy-two".