272424240 has 360 divisors, whose sum is σ = 1041964560. Its totient is φ = 63697920.

The previous prime is 272424227. The next prime is 272424281. The reversal of 272424240 is 42424272.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4617331 + ... + 4617389.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^272424240 is an apocalyptic number.

272424240 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 272424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520982280).

272424240 is an abundant number, since it is smaller than the sum of its proper divisors (769540320).

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

272424240 is a wasteful number, since it uses less digits than its factorization.

272424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 272424240 is about 16505.2791554702. The cubic root of 272424240 is about 648.2590413805.

The spelling of 272424240 in words is "two hundred seventy-two million, four hundred twenty-four thousand, two hundred forty".