67872072 has 32 divisors (see below), whose sum is σ = 172216800. Its totient is φ = 22285824.

The previous prime is 67872071. The next prime is 67872083. The reversal of 67872072 is 27027876.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67872072.

It is not an unprimeable number, because it can be changed into a prime (67872071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19497 + ... + 22712.

It is an arithmetic number, because the mean of its divisors is an integer number (5381775).

Almost surely, 2^67872072 is an apocalyptic number.

It is an amenable number.

67872072 is an abundant number, since it is smaller than the sum of its proper divisors (104344728).

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

67872072 is a wasteful number, since it uses less digits than its factorization.

67872072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42285 (or 42281 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 67872072 is about 8238.4508252462. The cubic root of 67872072 is about 407.9093897208.

The spelling of 67872072 in words is "sixty-seven million, eight hundred seventy-two thousand, seventy-two".