972712 has 32 divisors (see below), whose sum is σ = 2016000. Its totient is φ = 437184.

The previous prime is 972701. The next prime is 972721. The reversal of 972712 is 217279.

It is a happy number.

It is an unprimeable number.

972712 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, 4789 + ... + 4987.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2⁹⁷²⁷¹² 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 972712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008000).

972712 is an abundant number, since it is smaller than the sum of its proper divisors (1043288).

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

972712 is a wasteful number, since it uses less digits than its factorization.

972712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 972712 is about 986.2616285753. The cubic root of 972712 is about 99.0819985203.

It can be divided in two parts, 97 and 2712, that added together give a square (2809 = 53²).

The spelling of 972712 in words is "nine hundred seventy-two thousand, seven hundred twelve".