270001000100072 has 16 divisors (see below), whose sum is σ = 511940098505700. Its totient is φ = 133483640498560.

The previous prime is 270001000100059. The next prime is 270001000100123.

270001000100072 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 270000567709636 + 432390436 = 16431694^2 + 20794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189607443179 + ... + 189607444602.

Almost surely, 2^{270001000100072} is an apocalyptic number.

It is an amenable number.

270001000100072 is a deficient number, since it is larger than the sum of its proper divisors (241939098405628).

270001000100072 is a wasteful number, since it uses less digits than its factorization.

270001000100072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379214887876 (or 379214887872 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

It can be divided in two parts, 270001000 and 100072, that added together give a palindrome (270101072).

The spelling of 270001000100072 in words is "two hundred seventy trillion, one billion, one hundred thousand, seventy-two".