672056000 has 224 divisors, whose sum is σ = 2076931584. Its totient is φ = 209280000.

The previous prime is 672055991. The next prime is 672056003. The reversal of 672056000 is 650276.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (672056003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615455 + ... + 616545.

It is an arithmetic number, because the mean of its divisors is an integer number (9272016).

Almost surely, 2^672056000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038465792).

672056000 is an abundant number, since it is smaller than the sum of its proper divisors (1404875584).

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

672056000 is a wasteful number, since it uses less digits than its factorization.

672056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 672056000 is about 25924.0428945795. The cubic root of 672056000 is about 875.9281579636.

The spelling of 672056000 in words is "six hundred seventy-two million, fifty-six thousand".