972144 has 60 divisors (see below), whose sum is σ = 2801656. Its totient is φ = 314496.

The previous prime is 972137. The next prime is 972161. The reversal of 972144 is 441279.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6114 + ... + 6270.

2⁹⁷²¹⁴⁴ 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 972144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400828).

972144 is an abundant number, since it is smaller than the sum of its proper divisors (1829512).

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

972144 is a wasteful number, since it uses less digits than its factorization.

972144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 972144 is about 985.9736304790. The cubic root of 972144 is about 99.0627089694.

It can be divided in two parts, 9721 and 44, that multiplied together give a palindrome (427724).

The spelling of 972144 in words is "nine hundred seventy-two thousand, one hundred forty-four".