276268272 has 120 divisors (see below), whose sum is σ = 866480256. Its totient is φ = 75487104.

The previous prime is 276268271. The next prime is 276268273. The reversal of 276268272 is 272862672.

It is an interprime number because it is at equal distance from previous prime (276268271) and next prime (276268273).

It is a super-2 number, since 2×276268272² = 152648316227731968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276268271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51543 + ... + 56649.

Almost surely, 2^276268272 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 276268272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433240128).

276268272 is an abundant number, since it is smaller than the sum of its proper divisors (590211984).

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

276268272 is a wasteful number, since it uses less digits than its factorization.

276268272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5142 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 276268272 is about 16621.3198031925. The cubic root of 276268272 is about 651.2938897358.

The spelling of 276268272 in words is "two hundred seventy-six million, two hundred sixty-eight thousand, two hundred seventy-two".