272221344 has 96 divisors (see below), whose sum is σ = 796824000. Its totient is φ = 90415872.

The previous prime is 272221343. The next prime is 272221349. The reversal of 272221344 is 443122272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (272221343) 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, 439467 + ... + 440085.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2^272221344 is an apocalyptic number.

272221344 is a gapful number since it is divisible by the number (24) 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 272221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398412000).

272221344 is an abundant number, since it is smaller than the sum of its proper divisors (524602656).

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

272221344 is a wasteful number, since it uses less digits than its factorization.

272221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 272221344 is about 16499.1316135123. The cubic root of 272221344 is about 648.0980647197.

The spelling of 272221344 in words is "two hundred seventy-two million, two hundred twenty-one thousand, three hundred forty-four".