67007072 has 96 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 28062720.

The previous prime is 67007071. The next prime is 67007077. The reversal of 67007072 is 27070076.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67007071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287468 + ... + 287700.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^67007072 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 67007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

67007072 is an abundant number, since it is smaller than the sum of its proper divisors (88668448).

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

67007072 is a wasteful number, since it uses less digits than its factorization.

67007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 67007072 is about 8185.7847516289. The cubic root of 67007072 is about 406.1690997250.

The spelling of 67007072 in words is "sixty-seven million, seven thousand, seventy-two".