67072968 has 96 divisors (see below), whose sum is σ = 195098400. Its totient is φ = 21349152.

The previous prime is 67072961. The next prime is 67072979. The reversal of 67072968 is 86927076.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67072961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113971 + ... + 114557.

It is an arithmetic number, because the mean of its divisors is an integer number (2032275).

Almost surely, 2^67072968 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 67072968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97549200).

67072968 is an abundant number, since it is smaller than the sum of its proper divisors (128025432).

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

67072968 is a wasteful number, since it uses less digits than its factorization.

67072968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 67072968 is about 8189.8087889767. The cubic root of 67072968 is about 406.3022008504.

The spelling of 67072968 in words is "sixty-seven million, seventy-two thousand, nine hundred sixty-eight".