10072757344 has 24 divisors (see below), whose sum is σ = 21356183520. Its totient is φ = 4648964736.

The previous prime is 10072757341. The next prime is 10072757377. The reversal of 10072757344 is 44375727001.

It is a super-2 number, since 2×10072757344² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10072757297 and 10072757306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072757341) 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, 12106264 + ... + 12107095.

It is an arithmetic number, because the mean of its divisors is an integer number (889840980).

Almost surely, 2^10072757344 is an apocalyptic number.

It is an amenable number.

10072757344 is an abundant number, since it is smaller than the sum of its proper divisors (11283426176).

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

10072757344 is a wasteful number, since it uses less digits than its factorization.

10072757344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24213382 (or 24213374 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 10072757344 in words is "ten billion, seventy-two million, seven hundred fifty-seven thousand, three hundred forty-four".