672127200 has 432 divisors, whose sum is σ = 2585615760. Its totient is φ = 168376320.

The previous prime is 672127189. The next prime is 672127243. The reversal of 672127200 is 2721276.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 18165582 + ... + 18165618.

Almost surely, 2^672127200 is an apocalyptic number.

672127200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292807880).

672127200 is an abundant number, since it is smaller than the sum of its proper divisors (1913488560).

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

672127200 is a wasteful number, since it uses less digits than its factorization.

672127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 672127200 is about 25925.4161008073. The cubic root of 672127200 is about 875.9590898515.

Adding to 672127200 its reverse (2721276), we get a palindrome (674848476).

The spelling of 672127200 in words is "six hundred seventy-two million, one hundred twenty-seven thousand, two hundred".