972000000 has 378 divisors, whose sum is σ = 3632844124. Its totient is φ = 259200000.

The previous prime is 971999921. The next prime is 972000017. The reversal of 972000000 is 279.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

972000000 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 (18).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 194399998 + ... + 194400002.

Almost surely, 2^972000000 is an apocalyptic number.

972000000 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 972000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816422062).

972000000 is an abundant number, since it is smaller than the sum of its proper divisors (2660844124).

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

972000000 is an frugal number, since it uses more digits than its factorization.

972000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 972000000 is about 31176.9145362398. The cubic root of 972000000 is about 990.5781746684.

Adding to 972000000 its reverse (279), we get a palindrome (972000279).

The spelling of 972000000 in words is "nine hundred seventy-two million", and thus it is an aban number.