672240800 has 216 divisors, whose sum is σ = 2083929120. Its totient is φ = 209395200.

The previous prime is 672240799. The next prime is 672240841. The reversal of 672240800 is 8042276.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430421 + ... + 431979.

It is an arithmetic number, because the mean of its divisors is an integer number (9647820).

Almost surely, 2^672240800 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 672240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041964560).

672240800 is an abundant number, since it is smaller than the sum of its proper divisors (1411688320).

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

672240800 is a wasteful number, since it uses less digits than its factorization.

672240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 672240800 is about 25927.6069084673. The cubic root of 672240800 is about 876.0084373297.

The spelling of 672240800 in words is "six hundred seventy-two million, two hundred forty thousand, eight hundred".