672235200 has 1008 divisors, whose sum is σ = 3210072320. Its totient is φ = 134369280.

The previous prime is 672235183. The next prime is 672235243. The reversal of 672235200 is 2532276.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35380791 + ... + 35380809.

Almost surely, 2^672235200 is an apocalyptic number.

672235200 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 672235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605036160).

672235200 is an abundant number, since it is smaller than the sum of its proper divisors (2537837120).

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

672235200 is a wasteful number, since it uses less digits than its factorization.

672235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 672235200 is about 25927.4989152444. The cubic root of 672235200 is about 876.0060048378.

Adding to 672235200 its reverse (2532276), we get a palindrome (674767476).

The spelling of 672235200 in words is "six hundred seventy-two million, two hundred thirty-five thousand, two hundred".