972287235200 has 72 divisors (see below), whose sum is σ = 2401991110665. Its totient is φ = 388892582400.

The previous prime is 972287235167. The next prime is 972287235221. The reversal of 972287235200 is 2532782279.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 952841490496 + 19445744704 = 976136^2 + 139448^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=697240.

It is a super-3 number, since 3×972287235200³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55770485 + ... + 55787915.

Almost surely, 2^972287235200 is an apocalyptic number.

It is an amenable number.

972287235200 is an abundant number, since it is smaller than the sum of its proper divisors (1429703875465).

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

972287235200 is an frugal number, since it uses more digits than its factorization.

972287235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34886 (or 17438 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 972287235200 in words is "nine hundred seventy-two billion, two hundred eighty-seven million, two hundred thirty-five thousand, two hundred".