625072896 has 144 divisors (see below), whose sum is σ = 2112678400. Its totient is φ = 178578432.

The previous prime is 625072891. The next prime is 625072901. The reversal of 625072896 is 698270526.

625072896 is a `hidden beast` number, since 62 + 507 + 2 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (625072891) and next prime (625072901).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×625072896² = 781432250627653632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (625072891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41925 + ... + 54843.

Almost surely, 2^625072896 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 625072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056339200).

625072896 is an abundant number, since it is smaller than the sum of its proper divisors (1487605504).

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

625072896 is a wasteful number, since it uses less digits than its factorization.

625072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12951 (or 12931 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 625072896 is about 25001.4578774919. The cubic root of 625072896 is about 855.0212121546.

The spelling of 625072896 in words is "six hundred twenty-five million, seventy-two thousand, eight hundred ninety-six".