272364262463272 has 32 divisors (see below), whose sum is σ = 583639072629120. Its totient is φ = 116727267585600.

The previous prime is 272364262463219. The next prime is 272364262463309.

It is a happy number.

272364262463272 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19397238 + ... + 30347674.

It is an arithmetic number, because the mean of its divisors is an integer number (18238721019660).

Almost surely, 2^{272364262463272} is an apocalyptic number.

It is an amenable number.

272364262463272 is an abundant number, since it is smaller than the sum of its proper divisors (311274810165848).

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

272364262463272 is a wasteful number, since it uses less digits than its factorization.

272364262463272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394601 (or 11394597 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 58.

The spelling of 272364262463272 in words is "two hundred seventy-two trillion, three hundred sixty-four billion, two hundred sixty-two million, four hundred sixty-three thousand, two hundred seventy-two".