272952 has 48 divisors (see below), whose sum is σ = 786240. Its totient is φ = 85248.

The previous prime is 272933. The next prime is 272959. The reversal of 272952 is 259272.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

272952 is a Rhonda number in base 10.

Its product of digits (2520) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272959) 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 11 ways as a sum of consecutive naturals, for example, 1113 + ... + 1335.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²⁷²⁹⁵² 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 272952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

272952 is an abundant number, since it is smaller than the sum of its proper divisors (513288).

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

272952 is a wasteful number, since it uses less digits than its factorization.

272952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

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

The square root of 272952 is about 522.4480835451. The cubic root of 272952 is about 64.8677389492.

The spelling of 272952 in words is "two hundred seventy-two thousand, nine hundred fifty-two".