625728672 has 192 divisors, whose sum is σ = 1964390400. Its totient is φ = 193155840.

The previous prime is 625728661. The next prime is 625728703. The reversal of 625728672 is 276827526.

625728672 is a `hidden beast` number, since 6 + 2 + 572 + 8 + 6 + 72 = 666.

Its product of digits (564480) is a multiple of the sum of its prime divisors (882).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771147 + ... + 771957.

It is an arithmetic number, because the mean of its divisors is an integer number (10231200).

Almost surely, 2^625728672 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 625728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982195200).

625728672 is an abundant number, since it is smaller than the sum of its proper divisors (1338661728).

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

625728672 is a wasteful number, since it uses less digits than its factorization.

625728672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 882 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 625728672 is about 25014.5691947713. The cubic root of 625728672 is about 855.3201140517.

The spelling of 625728672 in words is "six hundred twenty-five million, seven hundred twenty-eight thousand, six hundred seventy-two".