27234322343272 has 32 divisors (see below), whose sum is σ = 58638493087200. Its totient is φ = 11727698616000.

The previous prime is 27234322343257. The next prime is 27234322343287.

It is a happy number.

27234322343272 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (27234322343257) and next prime (27234322343287).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8144233479 + ... + 8144236822.

It is an arithmetic number, because the mean of its divisors is an integer number (1832452908975).

Almost surely, 2^{27234322343272} is an apocalyptic number.

27234322343272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27234322343272 is an abundant number, since it is smaller than the sum of its proper divisors (31404170743928).

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

27234322343272 is a wasteful number, since it uses less digits than its factorization.

27234322343272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16288470337 (or 16288470333 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 46.

The spelling of 27234322343272 in words is "twenty-seven trillion, two hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, two hundred seventy-two".