972382320 has 800 divisors, whose sum is σ = 4446465408. Its totient is φ = 191102976.

The previous prime is 972382309. The next prime is 972382321. The reversal of 972382320 is 23283279.

972382320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972382321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10024512 + ... + 10024608.

Almost surely, 2^972382320 is an apocalyptic number.

972382320 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 972382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223232704).

972382320 is an abundant number, since it is smaller than the sum of its proper divisors (3474083088).

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

972382320 is a wasteful number, since it uses less digits than its factorization.

972382320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 972382320 is about 31183.0453932902. The cubic root of 972382320 is about 990.7080334491.

The spelling of 972382320 in words is "nine hundred seventy-two million, three hundred eighty-two thousand, three hundred twenty".