272792016 has 200 divisors, whose sum is σ = 916935360. Its totient is φ = 77644224.

The previous prime is 272791999. The next prime is 272792059. The reversal of 272792016 is 610297272.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1037101 + ... + 1037363.

Almost surely, 2^272792016 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 272792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458467680).

272792016 is an abundant number, since it is smaller than the sum of its proper divisors (644143344).

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

272792016 is an equidigital number, since it uses as much as digits as its factorization.

272792016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 272792016 is about 16516.4165605013. The cubic root of 272792016 is about 648.5506293712.

The spelling of 272792016 in words is "two hundred seventy-two million, seven hundred ninety-two thousand, sixteen".