6972000 has 192 divisors, whose sum is σ = 26417664. Its totient is φ = 1574400.

The previous prime is 6971981. The next prime is 6972001. The reversal of 6972000 is 2796.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83959 + ... + 84041.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^6972000 is an apocalyptic number.

6972000 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 6972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

6972000 is an abundant number, since it is smaller than the sum of its proper divisors (19445664).

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

6972000 is a wasteful number, since it uses less digits than its factorization.

6972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 6972000 is about 2640.4545063303. The cubic root of 6972000 is about 191.0377199518.

Adding to 6972000 its reverse (2796), we get a palindrome (6974796).

It can be divided in two parts, 6 and 972000, that multiplied together give a cube (5832000 = 180³).

The spelling of 6972000 in words is "six million, nine hundred seventy-two thousand".