272958 has 32 divisors (see below), whose sum is σ = 639744. Its totient is φ = 76032.

The previous prime is 272933. The next prime is 272959. The reversal of 272958 is 859272.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272958.

It is not an unprimeable number, because it can be changed into a prime (272959) 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, 2766 + ... + 2862.

It is an arithmetic number, because the mean of its divisors is an integer number (19992).

2²⁷²⁹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319872).

272958 is an abundant number, since it is smaller than the sum of its proper divisors (366786).

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

272958 is a wasteful number, since it uses less digits than its factorization.

272958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its digits is 10080, while the sum is 33.

The square root of 272958 is about 522.4538257109. The cubic root of 272958 is about 64.8682142508.

The spelling of 272958 in words is "two hundred seventy-two thousand, nine hundred fifty-eight".