87312272 has 40 divisors (see below), whose sum is σ = 185311800. Its totient is φ = 39667712.

The previous prime is 87312263. The next prime is 87312283. The reversal of 87312272 is 27221378.

It can be written as a sum of positive squares in 4 ways, for example, as 8386816 + 78925456 = 2896^2 + 8884^2 .

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 7 ways as a sum of consecutive naturals, for example, 2354 + ... + 13422.

It is an arithmetic number, because the mean of its divisors is an integer number (4632795).

Almost surely, 2^87312272 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 87312272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92655900).

87312272 is an abundant number, since it is smaller than the sum of its proper divisors (97999528).

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

87312272 is a wasteful number, since it uses less digits than its factorization.

87312272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123 (or 11117 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 87312272 is about 9344.1035953161. The cubic root of 87312272 is about 443.6342793669.

The spelling of 87312272 in words is "eighty-seven million, three hundred twelve thousand, two hundred seventy-two".