10225612072 has 32 divisors (see below), whose sum is σ = 20656500480. Its totient is φ = 4717540800.

The previous prime is 10225612063. The next prime is 10225612079. The reversal of 10225612072 is 27021652201.

10225612072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10225612072.

It is not an unprimeable number, because it can be changed into a prime (10225612079) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 246033 + ... + 284575.

It is an arithmetic number, because the mean of its divisors is an integer number (645515640).

Almost surely, 2^10225612072 is an apocalyptic number.

It is an amenable number.

10225612072 is an abundant number, since it is smaller than the sum of its proper divisors (10430888408).

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

10225612072 is a wasteful number, since it uses less digits than its factorization.

10225612072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41113 (or 41109 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 10225612072 in words is "ten billion, two hundred twenty-five million, six hundred twelve thousand, seventy-two".