27252999925272 has 96 divisors (see below), whose sum is σ = 80521320868560. Its totient is φ = 8258372640000.

The previous prime is 27252999925247. The next prime is 27252999925301.

It is a happy number.

27252999925272 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 2 + 9 + 9 + 9 + 92 + 527 + 2 = 666.

27252999925272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 27252999925272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72312522 + ... + 72688422.

Almost surely, 2^{27252999925272} is an apocalyptic number.

27252999925272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27252999925272 is an abundant number, since it is smaller than the sum of its proper divisors (53268320943288).

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

27252999925272 is a wasteful number, since it uses less digits than its factorization.

27252999925272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467465 (or 467458 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 27252999925272 in words is "twenty-seven trillion, two hundred fifty-two billion, nine hundred ninety-nine million, nine hundred twenty-five thousand, two hundred seventy-two".