9932217672 has 64 divisors (see below), whose sum is σ = 26820218880. Its totient is φ = 3046966272.

The previous prime is 9932217653. The next prime is 9932217677. The reversal of 9932217672 is 2767122399.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9932217677) 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 15 ways as a sum of consecutive naturals, for example, 57913 + ... + 152375.

It is an arithmetic number, because the mean of its divisors is an integer number (419065920).

Almost surely, 2^9932217672 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 9932217672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410109440).

9932217672 is an abundant number, since it is smaller than the sum of its proper divisors (16888001208).

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

9932217672 is a wasteful number, since it uses less digits than its factorization.

9932217672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94822 (or 94818 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 9932217672 is about 99660.5120998282. The cubic root of 9932217672 is about 2149.5558968790. Note that the first 3 decimals are identical.

The spelling of 9932217672 in words is "nine billion, nine hundred thirty-two million, two hundred seventeen thousand, six hundred seventy-two".