972100326132 has 288 divisors, whose sum is σ = 2750184493056. Its totient is φ = 287602790400.

The previous prime is 972100326011. The next prime is 972100326221. The reversal of 972100326132 is 231623001279.

972100326132 is a `hidden beast` number, since 9 + 7 + 2 + 1 + 0 + 0 + 32 + 613 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460491757 + ... + 460493867.

It is an arithmetic number, because the mean of its divisors is an integer number (9549251712).

Almost surely, 2^972100326132 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 972100326132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375092246528).

972100326132 is an abundant number, since it is smaller than the sum of its proper divisors (1778084166924).

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

972100326132 is a wasteful number, since it uses less digits than its factorization.

972100326132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 972100326132 in words is "nine hundred seventy-two billion, one hundred million, three hundred twenty-six thousand, one hundred thirty-two".