6972264 has 96 divisors (see below), whose sum is σ = 21081600. Its totient is φ = 2134080.

The previous prime is 6972253. The next prime is 6972269. The reversal of 6972264 is 4622796.

It is a happy number.

6972264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6972264² = 97224930571392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972269) 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 23 ways as a sum of consecutive naturals, for example, 36409 + ... + 36599.

It is an arithmetic number, because the mean of its divisors is an integer number (219600).

Almost surely, 2^6972264 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 6972264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540800).

6972264 is an abundant number, since it is smaller than the sum of its proper divisors (14109336).

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

6972264 is a wasteful number, since it uses less digits than its factorization.

6972264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 6972264 is about 2640.5044972505. The cubic root of 6972264 is about 191.0401311835.

The spelling of 6972264 in words is "six million, nine hundred seventy-two thousand, two hundred sixty-four".