672005600 has 288 divisors, whose sum is σ = 1999872000. Its totient is φ = 220147200.

The previous prime is 672005573. The next prime is 672005627. The reversal of 672005600 is 6500276.

672005600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (672005573) and next prime (672005627).

It is a self number, because there is not a number n which added to its sum of digits gives 672005600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8506361 + ... + 8506439.

It is an arithmetic number, because the mean of its divisors is an integer number (6944000).

Almost surely, 2^672005600 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 672005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936000).

672005600 is an abundant number, since it is smaller than the sum of its proper divisors (1327866400).

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

672005600 is a wasteful number, since it uses less digits than its factorization.

672005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 672005600 is about 25923.0708057514. The cubic root of 672005600 is about 875.9062610370.

Adding to 672005600 its reverse (6500276), we get a palindrome (678505876).

The spelling of 672005600 in words is "six hundred seventy-two million, five thousand, six hundred".