365072 has 10 divisors (see below), whose sum is σ = 707358. Its totient is φ = 182528.

The previous prime is 365069. The next prime is 365089. The reversal of 365072 is 270563.

365072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 364816 + 256 = 604^2 + 16^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365072.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11393 + ... + 11424.

2³⁶⁵⁰⁷² is an apocalyptic number.

It is an amenable number.

365072 is a deficient number, since it is larger than the sum of its proper divisors (342286).

365072 is a wasteful number, since it uses less digits than its factorization.

365072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22825 (or 22819 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 365072 is about 604.2118833654. The cubic root of 365072 is about 71.4703937934.

The spelling of 365072 in words is "three hundred sixty-five thousand, seventy-two".