67516072 has 32 divisors (see below), whose sum is σ = 137277000. Its totient is φ = 30945024.

The previous prime is 67516069. The next prime is 67516079. The reversal of 67516072 is 27061576.

It can be written as a sum of positive squares in 4 ways, for example, as 55860676 + 11655396 = 7474^2 + 3414^2 .

It is not an unprimeable number, because it can be changed into a prime (67516079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13318 + ... + 17674.

Almost surely, 2^67516072 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 67516072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68638500).

67516072 is an abundant number, since it is smaller than the sum of its proper divisors (69760928).

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

67516072 is a wasteful number, since it uses less digits than its factorization.

67516072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 67516072 is about 8216.8164151331. The cubic root of 67516072 is about 407.1949555691.

The spelling of 67516072 in words is "sixty-seven million, five hundred sixteen thousand, seventy-two".