627725000 has 192 divisors, whose sum is σ = 1788635520. Its totient is φ = 201600000.

The previous prime is 627724963. The next prime is 627725009. The reversal of 627725000 is 527726.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (627725009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2974895 + ... + 2975105.

It is an arithmetic number, because the mean of its divisors is an integer number (9315810).

Almost surely, 2^627725000 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 627725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894317760).

627725000 is an abundant number, since it is smaller than the sum of its proper divisors (1160910520).

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

627725000 is a wasteful number, since it uses less digits than its factorization.

627725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 627725000 is about 25054.4407241511. The cubic root of 627725000 is about 856.2287543346.

The spelling of 627725000 in words is "six hundred twenty-seven million, seven hundred twenty-five thousand".