272427264 has 108 divisors (see below), whose sum is σ = 790065276. Its totient is φ = 90279936.

The previous prime is 272427251. The next prime is 272427283. The reversal of 272427264 is 462724272.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 201867264 = 8400^2 + 14208^2 .

It is a super-2 number, since 2×272427264² = 148433228341051392, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730182 + ... + 730554.

Almost surely, 2^272427264 is an apocalyptic number.

272427264 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 272427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395032638).

272427264 is an abundant number, since it is smaller than the sum of its proper divisors (517638012).

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

272427264 is a wasteful number, since it uses less digits than its factorization.

272427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 695 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 272427264 is about 16505.3707622701. The cubic root of 272427264 is about 648.2614400022.

It can be divided in two parts, 272427 and 264, that added together give a triangular number (272691 = T₇₃₈).

The spelling of 272427264 in words is "two hundred seventy-two million, four hundred twenty-seven thousand, two hundred sixty-four".