67004672 has 72 divisors (see below), whose sum is σ = 154526400. Its totient is φ = 28403712.

The previous prime is 67004653. The next prime is 67004677. The reversal of 67004672 is 27640076.

It is a happy number.

67004672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (67004677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248954 + ... + 249222.

It is an arithmetic number, because the mean of its divisors is an integer number (2146200).

Almost surely, 2^67004672 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 67004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77263200).

67004672 is an abundant number, since it is smaller than the sum of its proper divisors (87521728).

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

67004672 is a wasteful number, since it uses less digits than its factorization.

67004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 67004672 is about 8185.6381547195. The cubic root of 67004672 is about 406.1642503986.

It can be divided in two parts, 67004 and 672, that added together give a palindrome (67676).

The spelling of 67004672 in words is "sixty-seven million, four thousand, six hundred seventy-two".