672288 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 217856.

The previous prime is 672283. The next prime is 672289. The reversal of 672288 is 882276.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (672283) by changing a digit.

672288 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4438 + ... + 4586.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁶⁷²²⁸⁸ 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 672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

672288 is an abundant number, since it is smaller than the sum of its proper divisors (1142112).

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

672288 is a wasteful number, since it uses less digits than its factorization.

672288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 672288 is about 819.9317044730. The cubic root of 672288 is about 87.6028939225.

It can be divided in two parts, 67228 and 8, that multiplied together give a 5-th power (537824 = 14⁵).

The spelling of 672288 in words is "six hundred seventy-two thousand, two hundred eighty-eight".