672928 has 24 divisors (see below), whose sum is σ = 1403892. Its totient is φ = 316416.

The previous prime is 672913. The next prime is 672937. The reversal of 672928 is 829276.

It can be written as a sum of positive squares in 2 ways, for example, as 620944 + 51984 = 788^2 + 228^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 672893 and 672902.

It is an unprimeable number.

672928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75 + ... + 1162.

2⁶⁷²⁹²⁸ is an apocalyptic number.

672928 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

672928 is an abundant number, since it is smaller than the sum of its proper divisors (730964).

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

672928 is a wasteful number, since it uses less digits than its factorization.

672928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1256 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 672928 is about 820.3218880415. The cubic root of 672928 is about 87.6306836348.

It can be divided in two parts, 672 and 928, that added together give a square (1600 = 40²).

The spelling of 672928 in words is "six hundred seventy-two thousand, nine hundred twenty-eight".