272408320 has 144 divisors (see below), whose sum is σ = 718179840. Its totient is φ = 98537472.

The previous prime is 272408303. The next prime is 272408329. The reversal of 272408320 is 23804272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272408329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559117 + ... + 559603.

It is an arithmetic number, because the mean of its divisors is an integer number (4987360).

Almost surely, 2^272408320 is an apocalyptic number.

272408320 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 272408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359089920).

272408320 is an abundant number, since it is smaller than the sum of its proper divisors (445771520).

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

272408320 is a wasteful number, since it uses less digits than its factorization.

272408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 272408320 is about 16504.7968784835. The cubic root of 272408320 is about 648.2464134232.

The spelling of 272408320 in words is "two hundred seventy-two million, four hundred eight thousand, three hundred twenty".