67728960 has 336 divisors, whose sum is σ = 264054336. Its totient is φ = 16422912.

The previous prime is 67728943. The next prime is 67728979. The reversal of 67728960 is 6982776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010847 + ... + 1010913.

It is an arithmetic number, because the mean of its divisors is an integer number (785876).

Almost surely, 2^67728960 is an apocalyptic number.

67728960 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 67728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132027168).

67728960 is an abundant number, since it is smaller than the sum of its proper divisors (196325376).

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

67728960 is a wasteful number, since it uses less digits than its factorization.

67728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

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

The square root of 67728960 is about 8229.7606283537. The cubic root of 67728960 is about 407.6224881761.

The spelling of 67728960 in words is "sixty-seven million, seven hundred twenty-eight thousand, nine hundred sixty".