278368272 has 320 divisors, whose sum is σ = 1007157760. Its totient is φ = 71663616.

The previous prime is 278368249. The next prime is 278368301. The reversal of 278368272 is 272863872.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2869728 + ... + 2869824.

It is an arithmetic number, because the mean of its divisors is an integer number (3147368).

Almost surely, 2^278368272 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 278368272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503578880).

278368272 is an abundant number, since it is smaller than the sum of its proper divisors (728789488).

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

278368272 is a wasteful number, since it uses less digits than its factorization.

278368272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 278368272 is about 16684.3720888741. The cubic root of 278368272 is about 652.9399543139.

The spelling of 278368272 in words is "two hundred seventy-eight million, three hundred sixty-eight thousand, two hundred seventy-two".