279072 has 96 divisors (see below), whose sum is σ = 907200. Its totient is φ = 82944.

The previous prime is 279047. The next prime is 279073. The reversal of 279072 is 270972.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 279072.

It is not an unprimeable number, because it can be changed into a prime (279073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14679 + ... + 14697.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2²⁷⁹⁰⁷² 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 279072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

279072 is an abundant number, since it is smaller than the sum of its proper divisors (628128).

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

279072 is a wasteful number, since it uses less digits than its factorization.

279072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 279072 is about 528.2726568733. The cubic root of 279072 is about 65.3489712208.

Subtracting from 279072 its reverse (270972), we obtain a square (8100 = 90²).

The spelling of 279072 in words is "two hundred seventy-nine thousand, seventy-two".