355072 has 36 divisors (see below), whose sum is σ = 756280. Its totient is φ = 165888.

The previous prime is 355063. The next prime is 355073. The reversal of 355072 is 270553.

It is a super-2 number, since 2×355072² = 252152250368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4828 + ... + 4900.

2³⁵⁵⁰⁷² is an apocalyptic number.

355072 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 355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378140).

355072 is an abundant number, since it is smaller than the sum of its proper divisors (401208).

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

355072 is an equidigital number, since it uses as much as digits as its factorization.

355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 355072 is about 595.8791823852. The cubic root of 355072 is about 70.8117741385.

The spelling of 355072 in words is "three hundred fifty-five thousand, seventy-two".