67872288 has 72 divisors (see below), whose sum is σ = 195867504. Its totient is φ = 20563840.

The previous prime is 67872283. The next prime is 67872293. The reversal of 67872288 is 88227876.

It is an interprime number because it is at equal distance from previous prime (67872283) and next prime (67872293).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (67872281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8695 + ... + 14537.

It is an arithmetic number, because the mean of its divisors is an integer number (2720382).

Almost surely, 2^67872288 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 67872288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97933752).

67872288 is an abundant number, since it is smaller than the sum of its proper divisors (127995216).

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

67872288 is a wasteful number, since it uses less digits than its factorization.

67872288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5859 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 67872288 is about 8238.4639344965. The cubic root of 67872288 is about 407.9098224384.

The spelling of 67872288 in words is "sixty-seven million, eight hundred seventy-two thousand, two hundred eighty-eight".