972395520 has 352 divisors, whose sum is σ = 3360355200. Its totient is φ = 239468544.

The previous prime is 972395519. The next prime is 972395521. The reversal of 972395520 is 25593279.

It is an interprime number because it is at equal distance from previous prime (972395519) and next prime (972395521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972395521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16481251 + ... + 16481309.

Almost surely, 2^972395520 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 972395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680177600).

972395520 is an abundant number, since it is smaller than the sum of its proper divisors (2387959680).

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

972395520 is a wasteful number, since it uses less digits than its factorization.

972395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 972395520 is about 31183.2570460496. The cubic root of 972395520 is about 990.7125163521.

The spelling of 972395520 in words is "nine hundred seventy-two million, three hundred ninety-five thousand, five hundred twenty".