970272 has 48 divisors (see below), whose sum is σ = 2832480. Its totient is φ = 323136.

The previous prime is 970267. The next prime is 970279. The reversal of 970272 is 272079.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 970272.

It is not an unprimeable number, because it can be changed into a prime (970279) by changing a digit.

970272 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 7 ways as a sum of consecutive naturals, for example, 303 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (59010).

2⁹⁷⁰²⁷² 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 970272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416240).

970272 is an abundant number, since it is smaller than the sum of its proper divisors (1862208).

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

970272 is a wasteful number, since it uses less digits than its factorization.

970272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1128 counting only the distinct ones).

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

The square root of 970272 is about 985.0238575791. The cubic root of 970272 is about 98.9990817178. Note that the first 3 decimals are identical.

Adding to 970272 its sum of digits (27), we get a cube (970299 = 99³).

The spelling of 970272 in words is "nine hundred seventy thousand, two hundred seventy-two".