272138000 has 40 divisors (see below), whose sum is σ = 658034520. Its totient is φ = 108854400.

The previous prime is 272137979. The next prime is 272138003. The reversal of 272138000 is 831272.

It can be written as a sum of positive squares in 4 ways, for example, as 15241216 + 256896784 = 3904^2 + 16028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (272138003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66035 + ... + 70034.

It is an arithmetic number, because the mean of its divisors is an integer number (16450863).

Almost surely, 2^272138000 is an apocalyptic number.

272138000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272138000 is an abundant number, since it is smaller than the sum of its proper divisors (385896520).

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

272138000 is a wasteful number, since it uses less digits than its factorization.

272138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136092 (or 136076 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 272138000 is about 16496.6057114790. The cubic root of 272138000 is about 648.0319168347.

Adding to 272138000 its reverse (831272), we get a palindrome (272969272).

The spelling of 272138000 in words is "two hundred seventy-two million, one hundred thirty-eight thousand".