87525120 has 144 divisors (see below), whose sum is σ = 291981312. Its totient is φ = 22302720.

The previous prime is 87525089. The next prime is 87525131. The reversal of 87525120 is 2152578.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 87825 + ... + 88815.

It is an arithmetic number, because the mean of its divisors is an integer number (2027648).

Almost surely, 2^87525120 is an apocalyptic number.

87525120 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 87525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990656).

87525120 is an abundant number, since it is smaller than the sum of its proper divisors (204456192).

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

87525120 is a wasteful number, since it uses less digits than its factorization.

87525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 87525120 is about 9355.4860910591. The cubic root of 87525120 is about 443.9944808988.

Adding to 87525120 its reverse (2152578), we get a palindrome (89677698).

The spelling of 87525120 in words is "eighty-seven million, five hundred twenty-five thousand, one hundred twenty".