272642720 has 48 divisors (see below), whose sum is σ = 736138368. Its totient is φ = 93477120.

The previous prime is 272642701. The next prime is 272642729. The reversal of 272642720 is 27246272.

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

It is not an unprimeable number, because it can be changed into a prime (272642729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120596 + ... + 122835.

It is an arithmetic number, because the mean of its divisors is an integer number (15336216).

Almost surely, 2^272642720 is an apocalyptic number.

272642720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272642720 is an abundant number, since it is smaller than the sum of its proper divisors (463495648).

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

272642720 is a wasteful number, since it uses less digits than its factorization.

272642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243453 (or 243445 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 272642720 is about 16511.8963175039. The cubic root of 272642720 is about 648.4322929606.

Adding to 272642720 its reverse (27246272), we get a palindrome (299888992).

The spelling of 272642720 in words is "two hundred seventy-two million, six hundred forty-two thousand, seven hundred twenty".