972420 has 48 divisors (see below), whose sum is σ = 2869440. Its totient is φ = 245376.

The previous prime is 972409. The next prime is 972427. The reversal of 972420 is 24279.

972420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (972427) by changing a digit.

972420 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 15 ways as a sum of consecutive naturals, for example, 714 + ... + 1566.

It is an arithmetic number, because the mean of its divisors is an integer number (59780).

2⁹⁷²⁴²⁰ 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 972420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434720).

972420 is an abundant number, since it is smaller than the sum of its proper divisors (1897020).

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

972420 is a wasteful number, since it uses less digits than its factorization.

972420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 972420 is about 986.1135837215. The cubic root of 972420 is about 99.0720829992.

Adding to 972420 its reverse (24279), we get a palindrome (996699).

The spelling of 972420 in words is "nine hundred seventy-two thousand, four hundred twenty".