349072 has 10 divisors (see below), whose sum is σ = 676358. Its totient is φ = 174528.

The previous prime is 349051. The next prime is 349079. The reversal of 349072 is 270943.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 30976 = 564^2 + 176^2 .

It is a super-2 number, since 2×349072² = 243702522368, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (349079) by changing a digit.

349072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10893 + ... + 10924.

2³⁴⁹⁰⁷² is an apocalyptic number.

It is an amenable number.

349072 is a deficient number, since it is larger than the sum of its proper divisors (327286).

349072 is a wasteful number, since it uses less digits than its factorization.

349072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21825 (or 21819 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 349072 is about 590.8231545903. The cubic root of 349072 is about 70.4106474942.

The spelling of 349072 in words is "three hundred forty-nine thousand, seventy-two".