6972312 has 64 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 2089472.

The previous prime is 6972311. The next prime is 6972313. The reversal of 6972312 is 2132796.

It is an interprime number because it is at equal distance from previous prime (6972311) and next prime (6972313).

It is a super-2 number, since 2×6972312² = 97226269250688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6972312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972311) 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 15 ways as a sum of consecutive naturals, for example, 9013 + ... + 9755.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 2^6972312 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 6972312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

6972312 is an abundant number, since it is smaller than the sum of its proper divisors (12312168).

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

6972312 is a wasteful number, since it uses less digits than its factorization.

6972312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 6972312 is about 2640.5135864070. The cubic root of 6972312 is about 191.0405695827.

The spelling of 6972312 in words is "six million, nine hundred seventy-two thousand, three hundred twelve".