9372672000 has 560 divisors, whose sum is σ = 35253987912. Its totient is φ = 2477260800.

The previous prime is 9372671981. The next prime is 9372672097. The reversal of 9372672000 is 2762739.

It can be written as a sum of positive squares in 4 ways, for example, as 557715456 + 8814956544 = 23616^2 + 93888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943944 + ... + 82944056.

Almost surely, 2^9372672000 is an apocalyptic number.

9372672000 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 9372672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17626993956).

9372672000 is an abundant number, since it is smaller than the sum of its proper divisors (25881315912).

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

9372672000 is an equidigital number, since it uses as much as digits as its factorization.

9372672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 123 counting only the distinct ones).

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

The square root of 9372672000 is about 96812.5611684765. The cubic root of 9372672000 is about 2108.4071144727.

The spelling of 9372672000 in words is "nine billion, three hundred seventy-two million, six hundred seventy-two thousand".