10182572072 has 16 divisors (see below), whose sum is σ = 19137678900. Its totient is φ = 5079191040.

The previous prime is 10182572063. The next prime is 10182572083. The reversal of 10182572072 is 27027528101.

It can be written as a sum of positive squares in 2 ways, for example, as 7446654436 + 2735917636 = 86294^2 + 52306^2 .

It is a super-3 number, since 3×10182572072³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1508297 + ... + 1515032.

Almost surely, 2^10182572072 is an apocalyptic number.

It is an amenable number.

10182572072 is a deficient number, since it is larger than the sum of its proper divisors (8955106828).

10182572072 is a wasteful number, since it uses less digits than its factorization.

10182572072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023756 (or 3023752 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 10182572072 in words is "ten billion, one hundred eighty-two million, five hundred seventy-two thousand, seventy-two".