10072931733 has 6 divisors (see below), whose sum is σ = 14549790294. Its totient is φ = 6715287816.

The previous prime is 10072931699. The next prime is 10072931753. The reversal of 10072931733 is 33713927001.

10072931733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10072531044 + 400689 = 100362^2 + 633^2 .

It is not a de Polignac number, because 10072931733 - 2⁶ = 10072931669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072931753) 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 5 ways as a sum of consecutive naturals, for example, 559607310 + ... + 559607327.

It is an arithmetic number, because the mean of its divisors is an integer number (2424965049).

Almost surely, 2^10072931733 is an apocalyptic number.

It is an amenable number.

10072931733 is a deficient number, since it is larger than the sum of its proper divisors (4476858561).

10072931733 is a wasteful number, since it uses less digits than its factorization.

10072931733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119214643 (or 1119214640 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 10072931733 in words is "ten billion, seventy-two million, nine hundred thirty-one thousand, seven hundred thirty-three".