272139264 has 220 divisors, whose sum is σ = 864923004. Its totient is φ = 84934656.

The previous prime is 272139253. The next prime is 272139271. The reversal of 272139264 is 462931272.

It can be written as a sum of positive squares in 2 ways, for example, as 139428864 + 132710400 = 11808^2 + 11520^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1409952 + ... + 1410144.

Almost surely, 2^272139264 is an apocalyptic number.

272139264 is a gapful number since it is divisible by the number (24) 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 272139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432461502).

272139264 is an abundant number, since it is smaller than the sum of its proper divisors (592783740).

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

272139264 is a wasteful number, since it uses less digits than its factorization.

272139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 272139264 is about 16496.6440223459. The cubic root of 272139264 is about 648.0329201382.

The spelling of 272139264 in words is "two hundred seventy-two million, one hundred thirty-nine thousand, two hundred sixty-four".