2005272 has 24 divisors (see below), whose sum is σ = 5431140. Its totient is φ = 668400.

The previous prime is 2005261. The next prime is 2005277. The reversal of 2005272 is 2725002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2005272² = 8042231587968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13854 + ... + 13997.

2^2005272 is an apocalyptic number.

It is an amenable number.

2005272 is an abundant number, since it is smaller than the sum of its proper divisors (3425868).

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

2005272 is a wasteful number, since it uses less digits than its factorization.

2005272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27863 (or 27856 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2005272 is about 1416.0762691324. The cubic root of 2005272 is about 126.1027129218.

The spelling of 2005272 in words is "two million, five thousand, two hundred seventy-two".