30625738272 has 288 divisors, whose sum is σ = 95195226672. Its totient is φ = 9300344832.

The previous prime is 30625738249. The next prime is 30625738313. The reversal of 30625738272 is 27283752603.

30625738272 is a `hidden beast` number, since 3 + 0 + 6 + 2 + 573 + 8 + 2 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29212279056 + 1413459216 = 170916^2 + 37596^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53077248 + ... + 53077824.

Almost surely, 2^30625738272 is an apocalyptic number.

30625738272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30625738272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47597613336).

30625738272 is an abundant number, since it is smaller than the sum of its proper divisors (64569488400).

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

30625738272 is a wasteful number, since it uses less digits than its factorization.

30625738272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 30625738272 in words is "thirty billion, six hundred twenty-five million, seven hundred thirty-eight thousand, two hundred seventy-two".