272668140 has 96 divisors (see below), whose sum is σ = 860045760. Its totient is φ = 71705088.

The previous prime is 272668129. The next prime is 272668141. The reversal of 272668140 is 41866272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 272668095 and 272668104.

It is not an unprimeable number, because it can be changed into a prime (272668141) 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 31 ways as a sum of consecutive naturals, for example, 35962 + ... + 42878.

It is an arithmetic number, because the mean of its divisors is an integer number (8958810).

Almost surely, 2^272668140 is an apocalyptic number.

272668140 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 272668140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430022880).

272668140 is an abundant number, since it is smaller than the sum of its proper divisors (587377620).

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

272668140 is a wasteful number, since it uses less digits than its factorization.

272668140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 272668140 is about 16512.6660476133. Note that the first 3 decimals coincide. The cubic root of 272668140 is about 648.4524446529.

The spelling of 272668140 in words is "two hundred seventy-two million, six hundred sixty-eight thousand, one hundred forty".