972312576 has 104 divisors (see below), whose sum is σ = 2633439264. Its totient is φ = 318996480.

The previous prime is 972312571. The next prime is 972312587. The reversal of 972312576 is 675213279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972312571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822706 + ... + 823886.

Almost surely, 2^972312576 is an apocalyptic number.

972312576 is a gapful number since it is divisible by the number (96) 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 972312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316719632).

972312576 is an abundant number, since it is smaller than the sum of its proper divisors (1661126688).

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

972312576 is a wasteful number, since it uses less digits than its factorization.

972312576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1253 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 972312576 is about 31181.9270732262. The cubic root of 972312576 is about 990.6843467463.

The spelling of 972312576 in words is "nine hundred seventy-two million, three hundred twelve thousand, five hundred seventy-six".