272484484272 has 640 divisors, whose sum is σ = 1057432320000. Its totient is φ = 64877137920.

The previous prime is 272484484243. The next prime is 272484484289.

272484484272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64430254 + ... + 64434482.

It is an arithmetic number, because the mean of its divisors is an integer number (1652238000).

Almost surely, 2^272484484272 is an apocalyptic number.

272484484272 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 272484484272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528716160000).

272484484272 is an abundant number, since it is smaller than the sum of its proper divisors (784947835728).

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

272484484272 is a wasteful number, since it uses less digits than its factorization.

272484484272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4414 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 54.

The spelling of 272484484272 in words is "two hundred seventy-two billion, four hundred eighty-four million, four hundred eighty-four thousand, two hundred seventy-two".