67728840 has 32 divisors (see below), whose sum is σ = 203186880. Its totient is φ = 18060992.

The previous prime is 67728839. The next prime is 67728841. The reversal of 67728840 is 4882776.

It is an interprime number because it is at equal distance from previous prime (67728839) and next prime (67728841).

It is a junction number, because it is equal to n+sod(n) for n = 67728792 and 67728801.

It is not an unprimeable number, because it can be changed into a prime (67728841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282084 + ... + 282323.

It is an arithmetic number, because the mean of its divisors is an integer number (6349590).

Almost surely, 2^67728840 is an apocalyptic number.

67728840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67728840 is an abundant number, since it is smaller than the sum of its proper divisors (135458040).

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

67728840 is a wasteful number, since it uses less digits than its factorization.

67728840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564421 (or 564417 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 67728840 is about 8229.7533377374. The cubic root of 67728840 is about 407.6222474384.

The spelling of 67728840 in words is "sixty-seven million, seven hundred twenty-eight thousand, eight hundred forty".