6982272 has 192 divisors, whose sum is σ = 23868000. Its totient is φ = 1935360.

The previous prime is 6982247. The next prime is 6982279. The reversal of 6982272 is 2722896.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (24192) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6982279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240754 + ... + 240782.

Almost surely, 2^6982272 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 6982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934000).

6982272 is an abundant number, since it is smaller than the sum of its proper divisors (16885728).

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

6982272 is a wasteful number, since it uses less digits than its factorization.

6982272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 6982272 is about 2642.3989100815. The cubic root of 6982272 is about 191.1314939300.

The spelling of 6982272 in words is "six million, nine hundred eighty-two thousand, two hundred seventy-two".