10272117024 has 72 divisors (see below), whose sum is σ = 31458369852. Its totient is φ = 3160650240.

The previous prime is 10272117013. The next prime is 10272117047. The reversal of 10272117024 is 42071127201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8076257424 + 2195859600 = 89868^2 + 46860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368067 + ... + 1375554.

Almost surely, 2^10272117024 is an apocalyptic number.

It is an amenable number.

10272117024 is an abundant number, since it is smaller than the sum of its proper divisors (21186252828).

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

10272117024 is a wasteful number, since it uses less digits than its factorization.

10272117024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743650 (or 2743639 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 10272117024 in words is "ten billion, two hundred seventy-two million, one hundred seventeen thousand, twenty-four".