27233667072 has 672 divisors, whose sum is σ = 91844134200. Its totient is φ = 8026324992.

The previous prime is 27233667049. The next prime is 27233667107. The reversal of 27233667072 is 27076633272.

It can be written as a sum of positive squares in 4 ways, for example, as 27232920576 + 746496 = 165024^2 + 864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 736045038 + ... + 736045074.

Almost surely, 2^27233667072 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 27233667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45922067100).

27233667072 is an abundant number, since it is smaller than the sum of its proper divisors (64610467128).

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

27233667072 is an equidigital number, since it uses as much as digits as its factorization.

27233667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 27233667072 in words is "twenty-seven billion, two hundred thirty-three million, six hundred sixty-seven thousand, seventy-two".