272404272 has 160 divisors (see below), whose sum is σ = 849945600. Its totient is φ = 73497600.

The previous prime is 272404271. The next prime is 272404289.

272404272 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (272404271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780354 + ... + 780702.

It is an arithmetic number, because the mean of its divisors is an integer number (5312160).

Almost surely, 2^272404272 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 272404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424972800).

272404272 is an abundant number, since it is smaller than the sum of its proper divisors (577541328).

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

272404272 is a wasteful number, since it uses less digits than its factorization.

272404272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 272404272 is about 16504.6742470126. The cubic root of 272404272 is about 648.2432024169.

The spelling of 272404272 in words is "two hundred seventy-two million, four hundred four thousand, two hundred seventy-two".