67257216 has 160 divisors (see below), whose sum is σ = 215985000. Its totient is φ = 20653056.

The previous prime is 67257191. The next prime is 67257217. The reversal of 67257216 is 61275276.

67257216 is a `hidden beast` number, since 6 + 72 + 572 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67257217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134535 + ... + 135033.

Almost surely, 2^67257216 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 67257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107992500).

67257216 is an abundant number, since it is smaller than the sum of its proper divisors (148727784).

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

67257216 is a wasteful number, since it uses less digits than its factorization.

67257216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 517 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 67257216 is about 8201.0496889118. The cubic root of 67257216 is about 406.6738951804.

The spelling of 67257216 in words is "sixty-seven million, two hundred fifty-seven thousand, two hundred sixteen".