6972100 has 36 divisors (see below), whose sum is σ = 15288084. Its totient is φ = 2759680.

The previous prime is 6972079. The next prime is 6972127. The reversal of 6972100 is 12796.

It can be written as a sum of positive squares in 6 ways, for example, as 3415104 + 3556996 = 1848^2 + 1886^2 .

It is a super-2 number, since 2×6972100² = 97220356820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10992 + ... + 11608.

It is an arithmetic number, because the mean of its divisors is an integer number (424669).

Almost surely, 2^6972100 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 6972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644042).

6972100 is an abundant number, since it is smaller than the sum of its proper divisors (8315984).

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

6972100 is a wasteful number, since it uses less digits than its factorization.

6972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 6972100 is about 2640.4734423963. The cubic root of 6972100 is about 191.0386333043.

Adding to 6972100 its reverse (12796), we get a palindrome (6984896).

The spelling of 6972100 in words is "six million, nine hundred seventy-two thousand, one hundred".