87725600 has 72 divisors (see below), whose sum is σ = 218306340. Its totient is φ = 34411520.

The previous prime is 87725587. The next prime is 87725639. The reversal of 87725600 is 652778.

It can be written as a sum of positive squares in 6 ways, for example, as 25441936 + 62283664 = 5044^2 + 7892^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 41366 + ... + 43434.

Almost surely, 2^87725600 is an apocalyptic number.

87725600 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 87725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109153170).

87725600 is an abundant number, since it is smaller than the sum of its proper divisors (130580740).

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

87725600 is a wasteful number, since it uses less digits than its factorization.

87725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 87725600 is about 9366.1945313985. The cubic root of 87725600 is about 444.3332184634. Note that the first 3 decimals are identical.

The spelling of 87725600 in words is "eighty-seven million, seven hundred twenty-five thousand, six hundred".