972673312 has 96 divisors (see below), whose sum is σ = 2165571072. Its totient is φ = 426691584.

The previous prime is 972673307. The next prime is 972673313. The reversal of 972673312 is 213376279.

972673312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (972673313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2650153 + ... + 2650519.

It is an arithmetic number, because the mean of its divisors is an integer number (22558032).

Almost surely, 2^972673312 is an apocalyptic number.

972673312 is a gapful number since it is divisible by the number (92) 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 972673312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082785536).

972673312 is an abundant number, since it is smaller than the sum of its proper divisors (1192897760).

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

972673312 is a wasteful number, since it uses less digits than its factorization.

972673312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its digits is 95256, while the sum is 40.

The square root of 972673312 is about 31187.7109131145. The cubic root of 972673312 is about 990.8068489573.

It can be divided in two parts, 9726 and 73312, that added together give a palindrome (83038).

The spelling of 972673312 in words is "nine hundred seventy-two million, six hundred seventy-three thousand, three hundred twelve".