8472000 has 112 divisors (see below), whose sum is σ = 28053792. Its totient is φ = 2252800.

The previous prime is 8471963. The next prime is 8472007. The reversal of 8472000 is 2748.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8472007) 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 15 ways as a sum of consecutive naturals, for example, 23824 + ... + 24176.

Almost surely, 2^8472000 is an apocalyptic number.

8472000 is a gapful number since it is divisible by the number (80) 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 8472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026896).

8472000 is an abundant number, since it is smaller than the sum of its proper divisors (19581792).

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

8472000 is a wasteful number, since it uses less digits than its factorization.

8472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 8472000 is about 2910.6700259562. The cubic root of 8472000 is about 203.8584177157.

Adding to 8472000 its reverse (2748), we get a palindrome (8474748).

The spelling of 8472000 in words is "eight million, four hundred seventy-two thousand".