87472800 has 108 divisors (see below), whose sum is σ = 308476350. Its totient is φ = 23324160.

The previous prime is 87472799. The next prime is 87472807. The reversal of 87472800 is 827478.

It can be written as a sum of positive squares in 3 ways, for example, as 83832336 + 3640464 = 9156^2 + 1908^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87472807) 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, 1126 + ... + 13274.

Almost surely, 2^87472800 is an apocalyptic number.

87472800 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 87472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154238175).

87472800 is an abundant number, since it is smaller than the sum of its proper divisors (221003550).

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

87472800 is a wasteful number, since it uses less digits than its factorization.

87472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87472800 is about 9352.6894527724. The cubic root of 87472800 is about 443.9059942203.

The spelling of 87472800 in words is "eighty-seven million, four hundred seventy-two thousand, eight hundred".