67628672 has 32 divisors (see below), whose sum is σ = 135660000. Its totient is φ = 33580800.

The previous prime is 67628653. The next prime is 67628677. The reversal of 67628672 is 27682676.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (67628677) 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 3 ways as a sum of consecutive naturals, for example, 17579 + ... + 21077.

It is an arithmetic number, because the mean of its divisors is an integer number (4239375).

Almost surely, 2^67628672 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 67628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67830000).

67628672 is an abundant number, since it is smaller than the sum of its proper divisors (68031328).

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

67628672 is a wasteful number, since it uses less digits than its factorization.

67628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3652 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 67628672 is about 8223.6653628416. The cubic root of 67628672 is about 407.4211964495.

The spelling of 67628672 in words is "sixty-seven million, six hundred twenty-eight thousand, six hundred seventy-two".