87375200 has 72 divisors (see below), whose sum is σ = 232719480. Its totient is φ = 31769600.

The previous prime is 87375187. The next prime is 87375259. The reversal of 87375200 is 257378.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3836 + ... + 13764.

It is an arithmetic number, because the mean of its divisors is an integer number (3232215).

Almost surely, 2^87375200 is an apocalyptic number.

87375200 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 87375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116359740).

87375200 is an abundant number, since it is smaller than the sum of its proper divisors (145344280).

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

87375200 is a wasteful number, since it uses less digits than its factorization.

87375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9960 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 87375200 is about 9347.4702460077. The cubic root of 87375200 is about 443.7408329787.

The spelling of 87375200 in words is "eighty-seven million, three hundred seventy-five thousand, two hundred".