69288 has 16 divisors (see below), whose sum is σ = 173280. Its totient is φ = 23088.

The previous prime is 69263. The next prime is 69313. The reversal of 69288 is 88296.

It is an interprime number because it is at equal distance from previous prime (69263) and next prime (69313).

It is an unprimeable number.

69288 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 1420 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (10830).

2⁶⁹²⁸⁸ is an apocalyptic number.

It is an amenable number.

69288 is an abundant number, since it is smaller than the sum of its proper divisors (103992).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86640).

69288 is a wasteful number, since it uses less digits than its factorization.

69288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2892 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 69288 is about 263.2261385197. The cubic root of 69288 is about 41.0726453506.

It can be divided in two parts, 692 and 88, that added together give a triangular number (780 = T₃₉).

The spelling of 69288 in words is "sixty-nine thousand, two hundred eighty-eight".