972732096 has 84 divisors (see below), whose sum is σ = 3186482832. Its totient is φ = 277922304.

The previous prime is 972732091. The next prime is 972732119. The reversal of 972732096 is 690237279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (972732091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116595 + ... + 124658.

Almost surely, 2^972732096 is an apocalyptic number.

972732096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

972732096 is an abundant number, since it is smaller than the sum of its proper divisors (2213750736).

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

972732096 is a wasteful number, since it uses less digits than its factorization.

972732096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241278 (or 241265 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 972732096 is about 31188.6533213603. The cubic root of 972732096 is about 990.8268085250.

The spelling of 972732096 in words is "nine hundred seventy-two million, seven hundred thirty-two thousand, ninety-six".