672389600 has 72 divisors (see below), whose sum is σ = 1649269440. Its totient is φ = 267678720.

The previous prime is 672389591. The next prime is 672389609. The reversal of 672389600 is 6983276.

It is an interprime number because it is at equal distance from previous prime (672389591) and next prime (672389609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672389609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176516 + ... + 180284.

It is an arithmetic number, because the mean of its divisors is an integer number (22906520).

Almost surely, 2^672389600 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 672389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824634720).

672389600 is an abundant number, since it is smaller than the sum of its proper divisors (976879840).

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

672389600 is a wasteful number, since it uses less digits than its factorization.

672389600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 672389600 is about 25930.4762779244. The cubic root of 672389600 is about 876.0730671662.

The spelling of 672389600 in words is "six hundred seventy-two million, three hundred eighty-nine thousand, six hundred".