67278720 has 128 divisors (see below), whose sum is σ = 218067840. Its totient is φ = 17639424.

The previous prime is 67278713. The next prime is 67278727. The reversal of 67278720 is 2787276.

It is an interprime number because it is at equal distance from previous prime (67278713) and next prime (67278727).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67278727) 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, 128379 + ... + 128901.

It is an arithmetic number, because the mean of its divisors is an integer number (1703655).

Almost surely, 2^67278720 is an apocalyptic number.

67278720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109033920).

67278720 is an abundant number, since it is smaller than the sum of its proper divisors (150789120).

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

67278720 is a wasteful number, since it uses less digits than its factorization.

67278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 67278720 is about 8202.3606358170. The cubic root of 67278720 is about 406.7172322086.

The spelling of 67278720 in words is "sixty-seven million, two hundred seventy-eight thousand, seven hundred twenty".