6972920 has 32 divisors (see below), whose sum is σ = 16027200. Its totient is φ = 2729088.

The previous prime is 6972899. The next prime is 6972961. The reversal of 6972920 is 292796.

It is a super-2 number, since 2×6972920² = 97243226652800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26 + ... + 3734.

It is an arithmetic number, because the mean of its divisors is an integer number (500850).

Almost surely, 2^6972920 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 6972920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013600).

6972920 is an abundant number, since it is smaller than the sum of its proper divisors (9054280).

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

6972920 is a wasteful number, since it uses less digits than its factorization.

6972920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 6972920 is about 2640.6287130151. The cubic root of 6972920 is about 191.0461224653.

The spelling of 6972920 in words is "six million, nine hundred seventy-two thousand, nine hundred twenty".