67033728 has 48 divisors (see below), whose sum is σ = 192899850. Its totient is φ = 22344192.

The previous prime is 67033721. The next prime is 67033741. The reversal of 67033728 is 82733076.

It can be written as a sum of positive squares in only one way, i.e., 65415744 + 1617984 = 8088^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67033692 and 67033701.

It is not an unprimeable number, because it can be changed into a prime (67033721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27943 + ... + 30246.

Almost surely, 2^67033728 is an apocalyptic number.

It is an amenable number.

67033728 is an abundant number, since it is smaller than the sum of its proper divisors (125866122).

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

67033728 is a wasteful number, since it uses less digits than its factorization.

67033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58209 (or 58194 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 67033728 is about 8187.4127781614. The cubic root of 67033728 is about 406.2229517929. Note that the first 3 decimals are identical.

The spelling of 67033728 in words is "sixty-seven million, thirty-three thousand, seven hundred twenty-eight".