9672372000 has 672 divisors, whose sum is σ = 37124365824. Its totient is φ = 2472768000.

The previous prime is 9672371977. The next prime is 9672372013. The reversal of 9672372000 is 2732769.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 90395947 + ... + 90396053.

It is an arithmetic number, because the mean of its divisors is an integer number (55244592).

Almost surely, 2^9672372000 is an apocalyptic number.

9672372000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9672372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562182912).

9672372000 is an abundant number, since it is smaller than the sum of its proper divisors (27451993824).

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

9672372000 is a wasteful number, since it uses less digits than its factorization.

9672372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 9672372000 is about 98348.2180824848. The cubic root of 9672372000 is about 2130.6445183056.

The spelling of 9672372000 in words is "nine billion, six hundred seventy-two million, three hundred seventy-two thousand".