272898898272 has 576 divisors, whose sum is σ = 1049045437440. Its totient is φ = 64986624000.

The previous prime is 272898898231. The next prime is 272898898289.

272898898272 is a `hidden beast` number, since 272 + 8 + 9 + 8 + 89 + 8 + 272 = 666.

272898898272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 272898898272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43528354 + ... + 43534622.

It is an arithmetic number, because the mean of its divisors is an integer number (1821259440).

Almost surely, 2^272898898272 is an apocalyptic number.

272898898272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272898898272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524522718720).

272898898272 is an abundant number, since it is smaller than the sum of its proper divisors (776146539168).

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

272898898272 is a wasteful number, since it uses less digits than its factorization.

272898898272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6456 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 272898898272 in words is "two hundred seventy-two billion, eight hundred ninety-eight million, eight hundred ninety-eight thousand, two hundred seventy-two".