67725824 has 80 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 30720000.

The previous prime is 67725803. The next prime is 67725839. The reversal of 67725824 is 42852776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269699 + ... + 269949.

Almost surely, 2^67725824 is an apocalyptic number.

67725824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

67725824 is an abundant number, since it is smaller than the sum of its proper divisors (80764672).

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

67725824 is a wasteful number, since it uses less digits than its factorization.

67725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 67725824 is about 8229.5700981278. The cubic root of 67725824 is about 407.6161968060.

The spelling of 67725824 in words is "sixty-seven million, seven hundred twenty-five thousand, eight hundred twenty-four".