364872 has 32 divisors (see below), whose sum is σ = 953280. Its totient is φ = 116160.

The previous prime is 364853. The next prime is 364873. The reversal of 364872 is 278463.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364872.

It is not an unprimeable number, because it can be changed into a prime (364873) by changing a digit.

364872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (29790).

2³⁶⁴⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476640).

364872 is an abundant number, since it is smaller than the sum of its proper divisors (588408).

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

364872 is a wasteful number, since it uses less digits than its factorization.

364872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 364872 is about 604.0463558370. The cubic root of 364872 is about 71.4573400306.

The spelling of 364872 in words is "three hundred sixty-four thousand, eight hundred seventy-two".