672768 has 66 divisors (see below), whose sum is σ = 1969214. Its totient is φ = 221184.

The previous prime is 672767. The next prime is 672779. The reversal of 672768 is 867276.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 82944 = 768^2 + 288^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (672767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9180 + ... + 9252.

672768 is a Friedman number, since it can be written as 876*6*2^7, using all its digits and the basic arithmetic operations.

2⁶⁷²⁷⁶⁸ 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 672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984607).

672768 is an abundant number, since it is smaller than the sum of its proper divisors (1296446).

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

672768 is a wasteful number, since it uses less digits than its factorization.

672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 672768 is about 820.2243595505. The cubic root of 672768 is about 87.6237378592.

The spelling of 672768 in words is "six hundred seventy-two thousand, seven hundred sixty-eight".