67789872 has 100 divisors (see below), whose sum is σ = 206605080. Its totient is φ = 21399552.

The previous prime is 67789861. The next prime is 67789873. The reversal of 67789872 is 27898776.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (67789873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23248 + ... + 26000.

Almost surely, 2^67789872 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 67789872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103302540).

67789872 is an abundant number, since it is smaller than the sum of its proper divisors (138815208).

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

67789872 is a wasteful number, since it uses less digits than its factorization.

67789872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2777 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 67789872 is about 8233.4605118383. The cubic root of 67789872 is about 407.7446499090.

The spelling of 67789872 in words is "sixty-seven million, seven hundred eighty-nine thousand, eight hundred seventy-two".