258672 has 40 divisors (see below), whose sum is σ = 709776. Its totient is φ = 80896.

The previous prime is 258659. The next prime is 258673. The reversal of 258672 is 276852.

It is a super-2 number, since 2×258672² = 133822407168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 258672.

It is not an unprimeable number, because it can be changed into a prime (258673) by changing a digit.

258672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 974.

2²⁵⁸⁶⁷² 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 258672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354888).

258672 is an abundant number, since it is smaller than the sum of its proper divisors (451104).

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

258672 is a wasteful number, since it uses less digits than its factorization.

258672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 258672 is about 508.5980731383. The cubic root of 258672 is about 63.7161912236.

The spelling of 258672 in words is "two hundred fifty-eight thousand, six hundred seventy-two".