8472100 has 144 divisors (see below), whose sum is σ = 24304000. Its totient is φ = 2540160.

The previous prime is 8472053. The next prime is 8472109. The reversal of 8472100 is 12748.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8472109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445891 + ... + 445909.

Almost surely, 2^8472100 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 8472100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152000).

8472100 is an abundant number, since it is smaller than the sum of its proper divisors (15831900).

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

8472100 is a wasteful number, since it uses less digits than its factorization.

8472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 8472100 is about 2910.6872040809. The cubic root of 8472100 is about 203.8592197995.

Adding to 8472100 its reverse (12748), we get a palindrome (8484848).

The spelling of 8472100 in words is "eight million, four hundred seventy-two thousand, one hundred".