27072755727072 has 96 divisors (see below), whose sum is σ = 77540694094080. Its totient is φ = 8202366289920.

The previous prime is 27072755726963. The next prime is 27072755727089.

27072755727072 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 27072755726997 and 27072755727015.

It is a congruent number.

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, 3446248 + ... + 8125400.

It is an arithmetic number, because the mean of its divisors is an integer number (807715563480).

Almost surely, 2^{27072755727072} is an apocalyptic number.

27072755727072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27072755727072 is an abundant number, since it is smaller than the sum of its proper divisors (50467938367008).

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

27072755727072 is a wasteful number, since it uses less digits than its factorization.

27072755727072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684656 (or 4684648 counting only the distinct ones).

The product of its (nonzero) digits is 47059600, while the sum is 60.

The spelling of 27072755727072 in words is "twenty-seven trillion, seventy-two billion, seven hundred fifty-five million, seven hundred twenty-seven thousand, seventy-two".