272666707666272 has 72 divisors (see below), whose sum is σ = 821007476406936. Its totient is φ = 85542496521216.

The previous prime is 272666707666253. The next prime is 272666707666277.

272666707666272 is nontrivially palindromic in base 10.

272666707666272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 272666707666272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272666707666277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27845859858 + ... + 27845869649.

It is an arithmetic number, because the mean of its divisors is an integer number (11402881616763).

Almost surely, 2^{272666707666272} is an apocalyptic number.

It is an amenable number.

272666707666272 is an abundant number, since it is smaller than the sum of its proper divisors (548340768740664).

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

272666707666272 is a wasteful number, since it uses less digits than its factorization.

272666707666272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55691729540 (or 55691729529 counting only the distinct ones).

The product of its (nonzero) digits is 1792336896, while the sum is 72.

The spelling of 272666707666272 in words is "two hundred seventy-two trillion, six hundred sixty-six billion, seven hundred seven million, six hundred sixty-six thousand, two hundred seventy-two".