87535872 has 54 divisors (see below), whose sum is σ = 252394142. Its totient is φ = 29177856.

The previous prime is 87535859. The next prime is 87535879. The reversal of 87535872 is 27853578.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 37748736 = 7056^2 + 6144^2 .

It is not an unprimeable number, because it can be changed into a prime (87535879) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 16693 + ... + 21300.

Almost surely, 2^87535872 is an apocalyptic number.

It is an amenable number.

87535872 is an abundant number, since it is smaller than the sum of its proper divisors (164858270).

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

87535872 is a wasteful number, since it uses less digits than its factorization.

87535872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38015 (or 37998 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 87535872 is about 9356.0607095080. The cubic root of 87535872 is about 444.0126609489.

The spelling of 87535872 in words is "eighty-seven million, five hundred thirty-five thousand, eight hundred seventy-two".