278772 has 24 divisors (see below), whose sum is σ = 700896. Its totient is φ = 85728.

The previous prime is 278767. The next prime is 278801. The reversal of 278772 is 277872.

It is a happy number.

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 278772.

It is an unprimeable 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, 738 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (29204).

2²⁷⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

278772 is an abundant number, since it is smaller than the sum of its proper divisors (422124).

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

278772 is a wasteful number, since it uses less digits than its factorization.

278772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1805 counting only the distinct ones).

The product of its digits is 10976, while the sum is 33.

The square root of 278772 is about 527.9886362413. The cubic root of 278772 is about 65.3255462976.

Subtracting from 278772 its reverse (277872), we obtain a square (900 = 30²).

The spelling of 278772 in words is "two hundred seventy-eight thousand, seven hundred seventy-two".