672315600 has 360 divisors, whose sum is σ = 2473475616. Its totient is φ = 154752000.

The previous prime is 672315577. The next prime is 672315601. The reversal of 672315600 is 6513276.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672315601) 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, 12685174 + ... + 12685226.

Almost surely, 2^672315600 is an apocalyptic number.

672315600 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 672315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236737808).

672315600 is an abundant number, since it is smaller than the sum of its proper divisors (1801160016).

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

672315600 is a wasteful number, since it uses less digits than its factorization.

672315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 672315600 is about 25929.0493462448. The cubic root of 672315600 is about 876.0409271760.

Adding to 672315600 its reverse (6513276), we get a palindrome (678828876).

The spelling of 672315600 in words is "six hundred seventy-two million, three hundred fifteen thousand, six hundred".