672487200 has 432 divisors, whose sum is σ = 2958935616. Its totient is φ = 139622400.

The previous prime is 672487183. The next prime is 672487201. The reversal of 672487200 is 2784276.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (672487201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553794 + ... + 555006.

It is an arithmetic number, because the mean of its divisors is an integer number (6849388).

Almost surely, 2^672487200 is an apocalyptic number.

672487200 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 672487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479467808).

672487200 is an abundant number, since it is smaller than the sum of its proper divisors (2286448416).

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

672487200 is a wasteful number, since it uses less digits than its factorization.

672487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 672487200 is about 25932.3581650416. The cubic root of 672487200 is about 876.1154536014.

The spelling of 672487200 in words is "six hundred seventy-two million, four hundred eighty-seven thousand, two hundred".