272916 has 72 divisors (see below), whose sum is σ = 853440. Its totient is φ = 73872.

The previous prime is 272911. The next prime is 272917. The reversal of 272916 is 619272.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 272916.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272916.

It is not an unprimeable number, because it can be changed into a prime (272911) by changing a digit.

272916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14355 + ... + 14373.

2²⁷²⁹¹⁶ 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 272916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426720).

272916 is an abundant number, since it is smaller than the sum of its proper divisors (580524).

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

272916 is a wasteful number, since it uses less digits than its factorization.

272916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 31 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 272916 is about 522.4136292250. The cubic root of 272916 is about 64.8648869932.

The spelling of 272916 in words is "two hundred seventy-two thousand, nine hundred sixteen".