358672 has 20 divisors (see below), whose sum is σ = 719820. Its totient is φ = 172928.

The previous prime is 358669. The next prime is 358681. The reversal of 358672 is 276853.

358672 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 266256 = 304^2 + 516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 850.

It is an arithmetic number, because the mean of its divisors is an integer number (35991).

2³⁵⁸⁶⁷² 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 358672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359910).

358672 is an abundant number, since it is smaller than the sum of its proper divisors (361148).

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

358672 is a wasteful number, since it uses less digits than its factorization.

358672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 358672 is about 598.8923108540. The cubic root of 358672 is about 71.0502850812.

The spelling of 358672 in words is "three hundred fifty-eight thousand, six hundred seventy-two".