350272 has 28 divisors (see below), whose sum is σ = 750316. Its totient is φ = 161280.

The previous prime is 350257. The next prime is 350281. The reversal of 350272 is 272053.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 331776 = 136^2 + 576^2 .

It is a congruent number.

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, 622 + ... + 1042.

It is an arithmetic number, because the mean of its divisors is an integer number (26797).

2³⁵⁰²⁷² is an apocalyptic number.

350272 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 350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375158).

350272 is an abundant number, since it is smaller than the sum of its proper divisors (400044).

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

350272 is a wasteful number, since it uses less digits than its factorization.

350272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 350272 is about 591.8378156218. The cubic root of 350272 is about 70.4912384531.

The spelling of 350272 in words is "three hundred fifty thousand, two hundred seventy-two".