272668032 has 480 divisors, whose sum is σ = 1060918320. Its totient is φ = 67682304.

The previous prime is 272668027. The next prime is 272668037. The reversal of 272668032 is 230866272.

It is an interprime number because it is at equal distance from previous prime (272668027) and next prime (272668037).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272668037) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 16039288 + ... + 16039304.

Almost surely, 2^272668032 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 272668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530459160).

272668032 is an abundant number, since it is smaller than the sum of its proper divisors (788250288).

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

272668032 is a wasteful number, since it uses less digits than its factorization.

272668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 272668032 is about 16512.6627773960. The cubic root of 272668032 is about 648.4523590386.

The spelling of 272668032 in words is "two hundred seventy-two million, six hundred sixty-eight thousand, thirty-two".