365872 has 20 divisors (see below), whose sum is σ = 763840. Its totient is φ = 168768.

The previous prime is 365851. The next prime is 365903. The reversal of 365872 is 278563.

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

It is an unprimeable number.

365872 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 in 3 ways as a sum of consecutive naturals, for example, 672 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (38192).

2³⁶⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

365872 is an abundant number, since it is smaller than the sum of its proper divisors (397968).

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

365872 is a wasteful number, since it uses less digits than its factorization.

365872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1774 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 365872 is about 604.8735405025. The cubic root of 365872 is about 71.5225612210.

The spelling of 365872 in words is "three hundred sixty-five thousand, eight hundred seventy-two".