272398032 has 160 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 87615360.

The previous prime is 272398031. The next prime is 272398051. The reversal of 272398032 is 230893272.

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 (272398031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2545723 + ... + 2545829.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2^272398032 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 272398032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

272398032 is an abundant number, since it is smaller than the sum of its proper divisors (537550128).

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

272398032 is a wasteful number, since it uses less digits than its factorization.

272398032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

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

The square root of 272398032 is about 16504.4852085729. The cubic root of 272398032 is about 648.2382525821.

The spelling of 272398032 in words is "two hundred seventy-two million, three hundred ninety-eight thousand, thirty-two".