972414144 has 168 divisors, whose sum is σ = 3178637280. Its totient is φ = 281567232.

The previous prime is 972414133. The next prime is 972414203. The reversal of 972414144 is 441414279.

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

It is a junction number, because it is equal to n+sod(n) for n = 972414099 and 972414108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 123477 + ... + 131115.

It is an arithmetic number, because the mean of its divisors is an integer number (18920460).

Almost surely, 2^972414144 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 972414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589318640).

972414144 is an abundant number, since it is smaller than the sum of its proper divisors (2206223136).

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

972414144 is a wasteful number, since it uses less digits than its factorization.

972414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7674 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 972414144 is about 31183.5556664085. Note that the first 3 decimals coincide. The cubic root of 972414144 is about 990.7188412517.

The spelling of 972414144 in words is "nine hundred seventy-two million, four hundred fourteen thousand, one hundred forty-four".