57216 has 32 divisors (see below), whose sum is σ = 153000. Its totient is φ = 18944.

The previous prime is 57203. The next prime is 57221. The reversal of 57216 is 61275.

57216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 57192 and 57201.

It is a congruent number.

It is an unprimeable number.

57216 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 3 ways as a sum of consecutive naturals, for example, 310 + ... + 458.

2⁵⁷²¹⁶ 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 57216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76500).

57216 is an abundant number, since it is smaller than the sum of its proper divisors (95784).

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

57216 is a wasteful number, since it uses less digits than its factorization.

57216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 57216 is about 239.1986622036. The cubic root of 57216 is about 38.5335626821.

The spelling of 57216 in words is "fifty-seven thousand, two hundred sixteen".