272715456 has 112 divisors (see below), whose sum is σ = 798336224. Its totient is φ = 81616896.

The previous prime is 272715451. The next prime is 272715461. The reversal of 272715456 is 654517272.

It is an interprime number because it is at equal distance from previous prime (272715451) and next prime (272715461).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (272715451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90876 + ... + 93828.

It is an arithmetic number, because the mean of its divisors is an integer number (7128002).

Almost surely, 2^272715456 is an apocalyptic number.

272715456 is a gapful number since it is divisible by the number (26) 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 272715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168112).

272715456 is an abundant number, since it is smaller than the sum of its proper divisors (525620768).

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

272715456 is a wasteful number, since it uses less digits than its factorization.

272715456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3008 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 272715456 is about 16514.0987038349. The cubic root of 272715456 is about 648.4899510533.

The spelling of 272715456 in words is "two hundred seventy-two million, seven hundred fifteen thousand, four hundred fifty-six".