272116320 has 192 divisors, whose sum is σ = 989936640. Its totient is φ = 61544448.

The previous prime is 272116291. The next prime is 272116373. The reversal of 272116320 is 23611272.

It is a super-2 number, since 2×272116320² = 148094583220684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365869 + ... + 366611.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^272116320 is an apocalyptic number.

272116320 is a gapful number since it is divisible by the number (20) 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 272116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

272116320 is an abundant number, since it is smaller than the sum of its proper divisors (717820320).

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

272116320 is a wasteful number, since it uses less digits than its factorization.

272116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 272116320 is about 16495.9485935183. The cubic root of 272116320 is about 648.0147077899.

Adding to 272116320 its reverse (23611272), we get a palindrome (295727592).

The spelling of 272116320 in words is "two hundred seventy-two million, one hundred sixteen thousand, three hundred twenty".