972128 has 24 divisors (see below), whose sum is σ = 2027592. Its totient is φ = 457216.

The previous prime is 972121. The next prime is 972131. The reversal of 972128 is 821279.

It is a happy number.

972128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 972128.

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 972128.

It is not an unprimeable number, because it can be changed into a prime (972121) by changing a digit.

972128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (84483).

2⁹⁷²¹²⁸ is an apocalyptic number.

It is an amenable number.

972128 is an abundant number, since it is smaller than the sum of its proper divisors (1055464).

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

972128 is a wasteful number, since it uses less digits than its factorization.

972128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1806 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 972128 is about 985.9655166384. The cubic root of 972128 is about 99.0621654929.

The spelling of 972128 in words is "nine hundred seventy-two thousand, one hundred twenty-eight".