972720 has 120 divisors (see below), whose sum is σ = 3752736. Its totient is φ = 221184.

The previous prime is 972701. The next prime is 972721. The reversal of 972720 is 27279.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (972721) by changing a digit.

972720 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 23 ways as a sum of consecutive naturals, for example, 4944 + ... + 5136.

2⁹⁷²⁷²⁰ is an apocalyptic number.

972720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876368).

972720 is an abundant number, since it is smaller than the sum of its proper divisors (2780016).

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

972720 is a wasteful number, since it uses less digits than its factorization.

972720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 972720 is about 986.2656842859. The cubic root of 972720 is about 99.0822701505.

Adding to 972720 its reverse (27279), we get a palindrome (999999).

The spelling of 972720 in words is "nine hundred seventy-two thousand, seven hundred twenty".