272652336 has 120 divisors (see below), whose sum is σ = 851987136. Its totient is φ = 80680320.

The previous prime is 272652329. The next prime is 272652349. The reversal of 272652336 is 633256272.

It is a happy number.

272652336 is a `hidden beast` number, since 272 + 6 + 52 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272652336.

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 23 ways as a sum of consecutive naturals, for example, 66111 + ... + 70113.

Almost surely, 2^272652336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272652336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425993568).

272652336 is an abundant number, since it is smaller than the sum of its proper divisors (579334800).

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

272652336 is a wasteful number, since it uses less digits than its factorization.

272652336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4062 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 272652336 is about 16512.1874989354. The cubic root of 272652336 is about 648.4399161871.

The spelling of 272652336 in words is "two hundred seventy-two million, six hundred fifty-two thousand, three hundred thirty-six".