67308672 has 64 divisors (see below), whose sum is σ = 186586560. Its totient is φ = 21457920.

The previous prime is 67308641. The next prime is 67308677. The reversal of 67308672 is 27680376.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 67308672.

It is not an unprimeable number, because it can be changed into a prime (67308677) 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, 5022 + ... + 12642.

It is an arithmetic number, because the mean of its divisors is an integer number (2915415).

Almost surely, 2^67308672 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 67308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93293280).

67308672 is an abundant number, since it is smaller than the sum of its proper divisors (119277888).

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

67308672 is a wasteful number, since it uses less digits than its factorization.

67308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7661 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 67308672 is about 8204.1862484953. The cubic root of 67308672 is about 406.7775791118. Note that the first 3 decimals are identical.

The spelling of 67308672 in words is "sixty-seven million, three hundred eight thousand, six hundred seventy-two".