9762872112 has 320 divisors, whose sum is σ = 33497856000. Its totient is φ = 2719664640.

The previous prime is 9762872099. The next prime is 9762872159. The reversal of 9762872112 is 2112782679.

It is a happy number.

9762872112 is a `hidden beast` number, since 9 + 7 + 628 + 7 + 2 + 1 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6074413 + ... + 6076019.

It is an arithmetic number, because the mean of its divisors is an integer number (104680800).

Almost surely, 2^9762872112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9762872112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748928000).

9762872112 is an abundant number, since it is smaller than the sum of its proper divisors (23734983888).

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

9762872112 is a wasteful number, since it uses less digits than its factorization.

9762872112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1660 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 9762872112 is about 98807.2472645605. The cubic root of 9762872112 is about 2137.2690665869.

The spelling of 9762872112 in words is "nine billion, seven hundred sixty-two million, eight hundred seventy-two thousand, one hundred twelve".