27234377343272 has 64 divisors (see below), whose sum is σ = 55763848604160. Its totient is φ = 12366565041600.

The previous prime is 27234377343209. The next prime is 27234377343353.

It is a happy number.

27234377343272 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27234377343272² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350364203 + ... + 350441925.

It is an arithmetic number, because the mean of its divisors is an integer number (871310134440).

Almost surely, 2^{27234377343272} is an apocalyptic number.

27234377343272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27234377343272 is an abundant number, since it is smaller than the sum of its proper divisors (28529471260888).

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

27234377343272 is a wasteful number, since it uses less digits than its factorization.

27234377343272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81774 (or 81770 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 56.

The spelling of 27234377343272 in words is "twenty-seven trillion, two hundred thirty-four billion, three hundred seventy-seven million, three hundred forty-three thousand, two hundred seventy-two".