972312096 has 72 divisors (see below), whose sum is σ = 2969038800. Its totient is φ = 277802112.

The previous prime is 972312091. The next prime is 972312101. The reversal of 972312096 is 690213279.

It is an interprime number because it is at equal distance from previous prime (972312091) and next prime (972312101).

It is not an unprimeable number, because it can be changed into a prime (972312091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98646 + ... + 108053.

It is an arithmetic number, because the mean of its divisors is an integer number (41236650).

Almost surely, 2^972312096 is an apocalyptic number.

972312096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

972312096 is an abundant number, since it is smaller than the sum of its proper divisors (1996726704).

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

972312096 is a wasteful number, since it uses less digits than its factorization.

972312096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206726 (or 206711 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 972312096 is about 31181.9193764592. The cubic root of 972312096 is about 990.6841837230.

The spelling of 972312096 in words is "nine hundred seventy-two million, three hundred twelve thousand, ninety-six".