276222672 has 180 divisors, whose sum is σ = 864444672. Its totient is φ = 82262400.

The previous prime is 276222671. The next prime is 276222673.

It is a happy number.

276222672 is a `hidden beast` number, since 2 + 7 + 622 + 26 + 7 + 2 = 666.

276222672 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (276222671) and next prime (276222673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276222671) 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 35 ways as a sum of consecutive naturals, for example, 1446097 + ... + 1446287.

Almost surely, 2^276222672 is an apocalyptic number.

276222672 is a gapful number since it is divisible by the number (22) 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 276222672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

276222672 is an abundant number, since it is smaller than the sum of its proper divisors (588222000).

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

276222672 is a wasteful number, since it uses less digits than its factorization.

276222672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 276222672 is about 16619.9480143591. The cubic root of 276222672 is about 651.2580542351.

The spelling of 276222672 in words is "two hundred seventy-six million, two hundred twenty-two thousand, six hundred seventy-two".