672100 has 72 divisors (see below), whose sum is σ = 1749888. Its totient is φ = 220800.

The previous prime is 672097. The next prime is 672103. The reversal of 672100 is 1276.

It is an interprime number because it is at equal distance from previous prime (672097) and next prime (672103).

It is not an unprimeable number, because it can be changed into a prime (672103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14277 + ... + 14323.

It is an arithmetic number, because the mean of its divisors is an integer number (24304).

2⁶⁷²¹⁰⁰ 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 672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944).

672100 is an abundant number, since it is smaller than the sum of its proper divisors (1077788).

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

672100 is a wasteful number, since it uses less digits than its factorization.

672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 672100 is about 819.8170527624. The cubic root of 672100 is about 87.5947273433.

Adding to 672100 its reverse (1276), we get a palindrome (673376).

The spelling of 672100 in words is "six hundred seventy-two thousand, one hundred".