8072100 has 54 divisors (see below), whose sum is σ = 25304370. Its totient is φ = 2152320.

The previous prime is 8072087. The next prime is 8072101. The reversal of 8072100 is 12708.

It can be written as a sum of positive squares in 3 ways, for example, as 553536 + 7518564 = 744^2 + 2742^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8072101) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3585 + ... + 5384.

Almost surely, 2^8072100 is an apocalyptic number.

It is an amenable number.

8072100 is an abundant number, since it is smaller than the sum of its proper divisors (17232270).

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

8072100 is a wasteful number, since it uses less digits than its factorization.

8072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8989 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 8072100 is about 2841.1441357312. The cubic root of 8072100 is about 200.5990373135.

Adding to 8072100 its reverse (12708), we get a palindrome (8084808).

The spelling of 8072100 in words is "eight million, seventy-two thousand, one hundred".