272522016 has 192 divisors, whose sum is σ = 901756800. Its totient is φ = 79377408.

The previous prime is 272522011. The next prime is 272522021. The reversal of 272522016 is 610225272.

It is an interprime number because it is at equal distance from previous prime (272522011) and next prime (272522021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (272522011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212770 + ... + 214046.

It is an arithmetic number, because the mean of its divisors is an integer number (4696650).

Almost surely, 2^272522016 is an apocalyptic number.

272522016 is a gapful number since it is divisible by the number (26) 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 272522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450878400).

272522016 is an abundant number, since it is smaller than the sum of its proper divisors (629234784).

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

272522016 is a wasteful number, since it uses less digits than its factorization.

272522016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 272522016 is about 16508.2408511628. The cubic root of 272522016 is about 648.3365878260.

Adding to 272522016 its reverse (610225272), we get a palindrome (882747288).

The spelling of 272522016 in words is "two hundred seventy-two million, five hundred twenty-two thousand, sixteen".