10673575272 has 48 divisors (see below), whose sum is σ = 28948510500. Its totient is φ = 3552823296.

The previous prime is 10673575267. The next prime is 10673575277. The reversal of 10673575272 is 27257537601.

10673575272 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 3 + 575 + 2 + 72 = 666.

10673575272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10673575267) and next prime (10673575277).

It can be written as a sum of positive squares in 2 ways, for example, as 10038837636 + 634737636 = 100194^2 + 25194^2 .

It is a super-2 number, since 2×10673575272² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10673575277) 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 11 ways as a sum of consecutive naturals, for example, 53497 + ... + 155592.

Almost surely, 2^10673575272 is an apocalyptic number.

10673575272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10673575272 is an abundant number, since it is smaller than the sum of its proper divisors (18274935228).

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

10673575272 is a wasteful number, since it uses less digits than its factorization.

10673575272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209810 (or 209803 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 10673575272 in words is "ten billion, six hundred seventy-three million, five hundred seventy-five thousand, two hundred seventy-two".