87732120 has 256 divisors, whose sum is σ = 331776000. Its totient is φ = 18095616.

The previous prime is 87732103. The next prime is 87732133. The reversal of 87732120 is 2123778.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366961 + ... + 367199.

It is an arithmetic number, because the mean of its divisors is an integer number (1296000).

Almost surely, 2^87732120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87732120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

87732120 is an abundant number, since it is smaller than the sum of its proper divisors (244043880).

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

87732120 is a wasteful number, since it uses less digits than its factorization.

87732120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 87732120 is about 9366.5425851805. The cubic root of 87732120 is about 444.3442261997.

Adding to 87732120 its reverse (2123778), we get a palindrome (89855898).

The spelling of 87732120 in words is "eighty-seven million, seven hundred thirty-two thousand, one hundred twenty".