1278367272 has 480 divisors, whose sum is σ = 4750653600. Its totient is φ = 317447424.

The previous prime is 1278367271. The next prime is 1278367327. The reversal of 1278367272 is 2727638721.

1278367272 is a `hidden beast` number, since 12 + 7 + 8 + 367 + 272 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1278367271) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7842663 + ... + 7842825.

It is an arithmetic number, because the mean of its divisors is an integer number (9897195).

Almost surely, 2^1278367272 is an apocalyptic number.

1278367272 is a gapful number since it is divisible by the number (12) 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 1278367272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375326800).

1278367272 is an abundant number, since it is smaller than the sum of its proper divisors (3472286328).

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

1278367272 is a wasteful number, since it uses less digits than its factorization.

1278367272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 1278367272 is about 35754.2622913688. The cubic root of 1278367272 is about 1085.3051933689.

The spelling of 1278367272 in words is "one billion, two hundred seventy-eight million, three hundred sixty-seven thousand, two hundred seventy-two".