273712606272 has 224 divisors, whose sum is σ = 949282775040. Its totient is φ = 75680801280.

The previous prime is 273712606213. The next prime is 273712606283. The reversal of 273712606272 is 272606217372.

273712606272 is a `hidden beast` number, since 2 + 7 + 3 + 7 + 12 + 6 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10003 + ... + 739949.

Almost surely, 2^273712606272 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 273712606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474641387520).

273712606272 is an abundant number, since it is smaller than the sum of its proper divisors (675570168768).

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

273712606272 is a wasteful number, since it uses less digits than its factorization.

273712606272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730006 (or 729990 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 273712606272 in words is "two hundred seventy-three billion, seven hundred twelve million, six hundred six thousand, two hundred seventy-two".