958272 has 112 divisors (see below), whose sum is σ = 3121152. Its totient is φ = 253440.

The previous prime is 958261. The next prime is 958289. The reversal of 958272 is 272859.

958272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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 958272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30897 + ... + 30927.

2⁹⁵⁸²⁷² is an apocalyptic number.

958272 is a gapful number since it is divisible by the number (92) 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 958272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560576).

958272 is an abundant number, since it is smaller than the sum of its proper divisors (2162880).

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

958272 is a wasteful number, since it uses less digits than its factorization.

958272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

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

The square root of 958272 is about 978.9136836310. The cubic root of 958272 is about 98.5892583344.

The spelling of 958272 in words is "nine hundred fifty-eight thousand, two hundred seventy-two".