67872084 has 48 divisors (see below), whose sum is σ = 182224896. Its totient is φ = 19260000.

The previous prime is 67872083. The next prime is 67872127. The reversal of 67872084 is 48027876.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67872083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10009 + ... + 15359.

It is an arithmetic number, because the mean of its divisors is an integer number (3796352).

Almost surely, 2^67872084 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 67872084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91112448).

67872084 is an abundant number, since it is smaller than the sum of its proper divisors (114352812).

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

67872084 is a wasteful number, since it uses less digits than its factorization.

67872084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 67872084 is about 8238.4515535384. The cubic root of 67872084 is about 407.9094137607.

The spelling of 67872084 in words is "sixty-seven million, eight hundred seventy-two thousand, eighty-four".