972001500 has 96 divisors (see below), whose sum is σ = 2850120000. Its totient is φ = 257401600.

The previous prime is 972001489. The next prime is 972001517. The reversal of 972001500 is 5100279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221326 + ... + 225674.

It is an arithmetic number, because the mean of its divisors is an integer number (29688750).

Almost surely, 2^972001500 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 972001500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425060000).

972001500 is an abundant number, since it is smaller than the sum of its proper divisors (1878118500).

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

972001500 is a wasteful number, since it uses less digits than its factorization.

972001500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 972001500 is about 31176.9385924917. The cubic root of 972001500 is about 990.5786842248.

Adding to 972001500 its reverse (5100279), we get a palindrome (977101779).

The spelling of 972001500 in words is "nine hundred seventy-two million, one thousand, five hundred".