67772416 has 28 divisors (see below), whose sum is σ = 135552942. Its totient is φ = 33882112.

The previous prime is 67772413. The next prime is 67772459. The reversal of 67772416 is 61427776.

It can be written as a sum of positive squares in only one way, i.e., 50466816 + 17305600 = 7104^2 + 4160^2 .

It is not an unprimeable number, because it can be changed into a prime (67772413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4056 + ... + 12328.

Almost surely, 2^67772416 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 67772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67776471).

67772416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

67772416 is an frugal number, since it uses more digits than its factorization.

67772416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8299 (or 8275 counting only the distinct ones).

The product of its digits is 98784, while the sum is 40.

The square root of 67772416 is about 8232.4003789903. The cubic root of 67772416 is about 407.7096486056.

The spelling of 67772416 in words is "sixty-seven million, seven hundred seventy-two thousand, four hundred sixteen".