87088072 has 32 divisors (see below), whose sum is σ = 167777280. Its totient is φ = 42356160.

The previous prime is 87088061. The next prime is 87088081. The reversal of 87088072 is 27088078.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 131422 + ... + 132082.

It is an arithmetic number, because the mean of its divisors is an integer number (5243040).

Almost surely, 2^87088072 is an apocalyptic number.

It is an amenable number.

87088072 is a deficient number, since it is larger than the sum of its proper divisors (80689208).

87088072 is a wasteful number, since it uses less digits than its factorization.

87088072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The square root of 87088072 is about 9332.0990136196. The cubic root of 87088072 is about 443.2542332857.

The spelling of 87088072 in words is "eighty-seven million, eighty-eight thousand, seventy-two".