279972 has 72 divisors (see below), whose sum is σ = 891072. Its totient is φ = 72000.

The previous prime is 279967. The next prime is 279977.

279972 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (279967) and next prime (279977).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (279977) by changing a digit.

279972 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 23 ways as a sum of consecutive naturals, for example, 2722 + ... + 2822.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

2²⁷⁹⁹⁷² is an apocalyptic number.

279972 is a gapful number since it is divisible by the number (22) 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 279972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536).

279972 is an abundant number, since it is smaller than the sum of its proper divisors (611100).

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

279972 is a wasteful number, since it uses less digits than its factorization.

279972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 279972 is about 529.1238040383. The cubic root of 279972 is about 65.4191454202.

Subtracting from 279972 its sum of digits (36), we obtain a 7-th power (279936 = 6⁷).

279972 divided by its sum of digits (36) gives a palindrome (7777).

It can be divided in two parts, 27 and 9972, that added together give a palindrome (9999).

The spelling of 279972 in words is "two hundred seventy-nine thousand, nine hundred seventy-two".