625072224 has 192 divisors, whose sum is σ = 1964390400. Its totient is φ = 173859840.

The previous prime is 625072213. The next prime is 625072291. The reversal of 625072224 is 422270526.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 625072191 and 625072200.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1349817 + ... + 1350279.

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

Almost surely, 2^625072224 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 625072224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982195200).

625072224 is an abundant number, since it is smaller than the sum of its proper divisors (1339318176).

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

625072224 is a wasteful number, since it uses less digits than its factorization.

625072224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 625072224 is about 25001.4444382720. Note that the first 4 decimals coincide. The cubic root of 625072224 is about 855.0209057506.

The spelling of 625072224 in words is "six hundred twenty-five million, seventy-two thousand, two hundred twenty-four".