972120 has 32 divisors (see below), whose sum is σ = 2916720. Its totient is φ = 259200.

The previous prime is 972119. The next prime is 972121. The reversal of 972120 is 21279.

It is a happy number.

972120 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (972119) and next prime (972121).

It is a congruent number.

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

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 7 ways as a sum of consecutive naturals, for example, 3931 + ... + 4170.

2⁹⁷²¹²⁰ is an apocalyptic number.

It is an amenable number.

972120 is an abundant number, since it is smaller than the sum of its proper divisors (1944600).

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

972120 is a wasteful number, since it uses less digits than its factorization.

972120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 972120 is about 985.9614596930. The cubic root of 972120 is about 99.0618937525.

Adding to 972120 its reverse (21279), we get a palindrome (993399).

The spelling of 972120 in words is "nine hundred seventy-two thousand, one hundred twenty".