87282720 has 216 divisors, whose sum is σ = 346761324. Its totient is φ = 19934208.

The previous prime is 87282719. The next prime is 87282773. The reversal of 87282720 is 2728278.

It can be written as a sum of positive squares in 2 ways, for example, as 86936976 + 345744 = 9324^2 + 588^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 69942 + ... + 71178.

Almost surely, 2^87282720 is an apocalyptic number.

87282720 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 87282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173380662).

87282720 is an abundant number, since it is smaller than the sum of its proper divisors (259478604).

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

87282720 is a wasteful number, since it uses less digits than its factorization.

87282720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87282720 is about 9342.5221434043. The cubic root of 87282720 is about 443.5842224111.

The spelling of 87282720 in words is "eighty-seven million, two hundred eighty-two thousand, seven hundred twenty".