272612480 has 96 divisors (see below), whose sum is σ = 758203740. Its totient is φ = 93456384.

The previous prime is 272612479. The next prime is 272612497. The reversal of 272612480 is 84216272.

It can be written as a sum of positive squares in 2 ways, for example, as 240622144 + 31990336 = 15512^2 + 5656^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27014 + ... + 35706.

Almost surely, 2^272612480 is an apocalyptic number.

272612480 is a gapful number since it is divisible by the number (20) 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 272612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379101870).

272612480 is an abundant number, since it is smaller than the sum of its proper divisors (485591260).

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

272612480 is an equidigital number, since it uses as much as digits as its factorization.

272612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 272612480 is about 16510.9805886870. The cubic root of 272612480 is about 648.4083185842.

The spelling of 272612480 in words is "two hundred seventy-two million, six hundred twelve thousand, four hundred eighty".