30625065072 has 240 divisors, whose sum is σ = 105832958400. Its totient is φ = 8235085824.

The previous prime is 30625065043. The next prime is 30625065073. The reversal of 30625065072 is 27056052603.

It is a happy number.

30625065072 is a `hidden beast` number, since 30 + 6 + 2 + 506 + 50 + 72 = 666.

It is a super-2 number, since 2×30625065072² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30625065073) 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, 821428 + ... + 857900.

It is an arithmetic number, because the mean of its divisors is an integer number (440970660).

Almost surely, 2^30625065072 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 30625065072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52916479200).

30625065072 is an abundant number, since it is smaller than the sum of its proper divisors (75207893328).

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

30625065072 is a wasteful number, since it uses less digits than its factorization.

30625065072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36525 (or 36502 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 30625065072 in words is "thirty billion, six hundred twenty-five million, sixty-five thousand, seventy-two".