87187200 has 216 divisors, whose sum is σ = 304147200. Its totient is φ = 21934080.

The previous prime is 87187147. The next prime is 87187231. The reversal of 87187200 is 278178.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 364681 + ... + 364919.

Almost surely, 2^87187200 is an apocalyptic number.

87187200 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 87187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152073600).

87187200 is an abundant number, since it is smaller than the sum of its proper divisors (216960000).

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

87187200 is a wasteful number, since it uses less digits than its factorization.

87187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 87187200 is about 9337.4086340912. The cubic root of 87187200 is about 443.4223475636.

The spelling of 87187200 in words is "eighty-seven million, one hundred eighty-seven thousand, two hundred".