972366912 has 252 divisors, whose sum is σ = 3150345744. Its totient is φ = 284336640.

The previous prime is 972366893. The next prime is 972366977. The reversal of 972366912 is 219663279.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11715223 + ... + 11715305.

It is an arithmetic number, because the mean of its divisors is an integer number (12501372).

Almost surely, 2^972366912 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 972366912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575172872).

972366912 is an abundant number, since it is smaller than the sum of its proper divisors (2177978832).

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

972366912 is a wasteful number, since it uses less digits than its factorization.

972366912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 142 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 972366912 is about 31182.7983349795. The cubic root of 972366912 is about 990.7028006273.

The spelling of 972366912 in words is "nine hundred seventy-two million, three hundred sixty-six thousand, nine hundred twelve".