359072 has 36 divisors (see below), whose sum is σ = 825930. Its totient is φ = 153216.

The previous prime is 359069. The next prime is 359101. The reversal of 359072 is 270953.

It can be written as a sum of positive squares in only one way, i.e., 226576 + 132496 = 476^2 + 364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1454 + ... + 1682.

2³⁵⁹⁰⁷² is an apocalyptic number.

359072 is a gapful number since it is divisible by the number (32) 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 359072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412965).

359072 is an abundant number, since it is smaller than the sum of its proper divisors (466858).

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

359072 is a wasteful number, since it uses less digits than its factorization.

359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 359072 is about 599.2261676529. The cubic root of 359072 is about 71.0766876214.

The spelling of 359072 in words is "three hundred fifty-nine thousand, seventy-two".