367872 has 36 divisors (see below), whose sum is σ = 981120. Its totient is φ = 122368.

The previous prime is 367867. The next prime is 367879. The reversal of 367872 is 278763.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367872.

It is not an unprimeable number, because it can be changed into a prime (367879) by changing a digit.

367872 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 3 ways as a sum of consecutive naturals, for example, 529 + ... + 1007.

2³⁶⁷⁸⁷² is an apocalyptic number.

367872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490560).

367872 is an abundant number, since it is smaller than the sum of its proper divisors (613248).

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

367872 is an equidigital number, since it uses as much as digits as its factorization.

367872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 367872 is about 606.5245254728. The cubic root of 367872 is about 71.6526479400.

The spelling of 367872 in words is "three hundred sixty-seven thousand, eight hundred seventy-two".