672722755200 has 576 divisors, whose sum is σ = 2620408845600. Its totient is φ = 169947279360.

The previous prime is 672722755163. The next prime is 672722755213. The reversal of 672722755200 is 2557227276.

672722755200 is a `hidden beast` number, since 6 + 7 + 2 + 72 + 27 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×672722755200³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14751634 + ... + 14797166.

Almost surely, 2^672722755200 is an apocalyptic number.

672722755200 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 672722755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310204422800).

672722755200 is an abundant number, since it is smaller than the sum of its proper divisors (1947686090400).

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

672722755200 is a wasteful number, since it uses less digits than its factorization.

672722755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45591 (or 45562 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 672722755200 in words is "six hundred seventy-two billion, seven hundred twenty-two million, seven hundred fifty-five thousand, two hundred".