6972720 has 80 divisors (see below), whose sum is σ = 22900320. Its totient is φ = 1748992.

The previous prime is 6972709. The next prime is 6972739. The reversal of 6972720 is 272796.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (286254).

Almost surely, 2^6972720 is an apocalyptic number.

6972720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450160).

6972720 is an abundant number, since it is smaller than the sum of its proper divisors (15927600).

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

6972720 is a wasteful number, since it uses less digits than its factorization.

6972720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 6972720 is about 2640.5908429744. The cubic root of 6972720 is about 191.0442958948.

The spelling of 6972720 in words is "six million, nine hundred seventy-two thousand, seven hundred twenty".