972288 has 60 divisors (see below), whose sum is σ = 2819388. Its totient is φ = 322560.

The previous prime is 972277. The next prime is 972313. The reversal of 972288 is 882279.

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

It is a nialpdrome in base 16.

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 972288.

It is an unprimeable number.

972288 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 5 ways as a sum of consecutive naturals, for example, 4503 + ... + 4713.

2⁹⁷²²⁸⁸ 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 972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409694).

972288 is an abundant number, since it is smaller than the sum of its proper divisors (1847100).

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

972288 is a wasteful number, since it uses less digits than its factorization.

972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 972288 is about 986.0466520404. The cubic root of 972288 is about 99.0675999889.

Subtracting from 972288 its reverse (882279), we obtain a palindrome (90009).

It can be divided in two parts, 972 and 288, that multiplied together give a 7-th power (279936 = 6⁷).

The spelling of 972288 in words is "nine hundred seventy-two thousand, two hundred eighty-eight".