352720 has 20 divisors (see below), whose sum is σ = 820260. Its totient is φ = 141056.

The previous prime is 352711. The next prime is 352739. The reversal of 352720 is 27253.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 283024 = 264^2 + 532^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×352720² = 248822796800, which contains 22 as substring.

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, 2125 + ... + 2284.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2³⁵²⁷²⁰ is an apocalyptic number.

It is an amenable number.

352720 is an abundant number, since it is smaller than the sum of its proper divisors (467540).

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

352720 is a wasteful number, since it uses less digits than its factorization.

352720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4416 counting only the distinct ones).

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

The square root of 352720 is about 593.9023488756. The cubic root of 352720 is about 70.6550750339.

Adding to 352720 its reverse (27253), we get a palindrome (379973).

The spelling of 352720 in words is "three hundred fifty-two thousand, seven hundred twenty".