67241728 has 72 divisors (see below), whose sum is σ = 142916480. Its totient is φ = 31518720.

The previous prime is 67241717. The next prime is 67241729. The reversal of 67241728 is 82714276.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67241729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293518 + ... + 293746.

Almost surely, 2^67241728 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 67241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71458240).

67241728 is an abundant number, since it is smaller than the sum of its proper divisors (75674752).

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

67241728 is a wasteful number, since it uses less digits than its factorization.

67241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 67241728 is about 8200.1053651767. The cubic root of 67241728 is about 406.6426764790.

The spelling of 67241728 in words is "sixty-seven million, two hundred forty-one thousand, seven hundred twenty-eight".