6972336 has 60 divisors (see below), whose sum is σ = 22303632. Its totient is φ = 1991808.

The previous prime is 6972319. The next prime is 6972359. The reversal of 6972336 is 6332796.

It is a super-2 number, since 2×6972336² = 97226938593792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6⁷ + 9⁷ + 7⁴ + 2¹⁵ + 3 + 3¹³ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 6972336.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2451 + ... + 4466.

Almost surely, 2^6972336 is an apocalyptic number.

It is an amenable number.

6972336 is an abundant number, since it is smaller than the sum of its proper divisors (15331296).

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

6972336 is a wasteful number, since it uses less digits than its factorization.

6972336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6929 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 6972336 is about 2640.5181309735. The cubic root of 6972336 is about 191.0407887815.

The spelling of 6972336 in words is "six million, nine hundred seventy-two thousand, three hundred thirty-six".