625995972 has 144 divisors (see below), whose sum is σ = 1953504000. Its totient is φ = 172646208.

The previous prime is 625995971. The next prime is 625996013. The reversal of 625995972 is 279599526.

It is a happy number.

625995972 is a `hidden beast` number, since 625 + 9 + 9 + 5 + 9 + 7 + 2 = 666.

625995972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (625995971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151429 + ... + 155507.

It is an arithmetic number, because the mean of its divisors is an integer number (13566000).

Almost surely, 2^625995972 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 625995972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

625995972 is an abundant number, since it is smaller than the sum of its proper divisors (1327508028).

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

625995972 is a wasteful number, since it uses less digits than its factorization.

625995972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4120 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The square root of 625995972 is about 25019.9115106349. The cubic root of 625995972 is about 855.4418891540.

The spelling of 625995972 in words is "six hundred twenty-five million, nine hundred ninety-five thousand, nine hundred seventy-two".