272138880 has 128 divisors (see below), whose sum is σ = 934254720. Its totient is φ = 66981888.

The previous prime is 272138869. The next prime is 272138897. The reversal of 272138880 is 88831272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19509 + ... + 30411.

It is an arithmetic number, because the mean of its divisors is an integer number (7298865).

Almost surely, 2^272138880 is an apocalyptic number.

272138880 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 272138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467127360).

272138880 is an abundant number, since it is smaller than the sum of its proper divisors (662115840).

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

272138880 is a wasteful number, since it uses less digits than its factorization.

272138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10938 (or 10926 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 272138880 is about 16496.6323836109. The cubic root of 272138880 is about 648.0326153375.

The spelling of 272138880 in words is "two hundred seventy-two million, one hundred thirty-eight thousand, eight hundred eighty".