272052 has 48 divisors (see below), whose sum is σ = 772800. Its totient is φ = 82080.

The previous prime is 272039. The next prime is 272053. The reversal of 272052 is 250272.

It is a happy number.

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 (272053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (16100).

2²⁷²⁰⁵² is an apocalyptic number.

272052 is a gapful number since it is divisible by the number (22) 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 272052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386400).

272052 is an abundant number, since it is smaller than the sum of its proper divisors (500748).

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

272052 is a wasteful number, since it uses less digits than its factorization.

272052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

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

The square root of 272052 is about 521.5860427580. The cubic root of 272052 is about 64.7963646795.

It can be divided in two parts, 2720 and 52, that added together give a palindrome (2772).

The spelling of 272052 in words is "two hundred seventy-two thousand, fifty-two".