10072658576 has 20 divisors (see below), whose sum is σ = 20663763372. Its totient is φ = 4740074496.

The previous prime is 10072658573. The next prime is 10072658597. The reversal of 10072658576 is 67585627001.

It can be written as a sum of positive squares in 2 ways, for example, as 7093682176 + 2978976400 = 84224^2 + 54580^2 .

It is a super-3 number, since 3×10072658576³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10072658576.

It is not an unprimeable number, because it can be changed into a prime (10072658573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18515645 + ... + 18516188.

Almost surely, 2^10072658576 is an apocalyptic number.

10072658576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10072658576 is an abundant number, since it is smaller than the sum of its proper divisors (10591104796).

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

10072658576 is a wasteful number, since it uses less digits than its factorization.

10072658576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37031858 (or 37031852 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

It can be divided in two parts, 100 and 72658576, that multiplied together give a square (7265857600 = 85240²).

The spelling of 10072658576 in words is "ten billion, seventy-two million, six hundred fifty-eight thousand, five hundred seventy-six".