8272400 has 30 divisors (see below), whose sum is σ = 19875402. Its totient is φ = 3308800.

The previous prime is 8272357. The next prime is 8272403. The reversal of 8272400 is 42728.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 8271376 = 32^2 + 2876^2 .

It is not an unprimeable number, because it can be changed into a prime (8272403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9941 + ... + 10740.

Almost surely, 2^8272400 is an apocalyptic number.

8272400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8272400 is an abundant number, since it is smaller than the sum of its proper divisors (11603002).

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

8272400 is a wasteful number, since it uses less digits than its factorization.

8272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20699 (or 20688 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 8272400 is about 2876.1780195252. The cubic root of 8272400 is about 202.2447120841.

The spelling of 8272400 in words is "eight million, two hundred seventy-two thousand, four hundred".