87072036 has 48 divisors (see below), whose sum is σ = 211693440. Its totient is φ = 27820800.

The previous prime is 87072031. The next prime is 87072049. The reversal of 87072036 is 63027078.

It is a junction number, because it is equal to n+sod(n) for n = 87071988 and 87072006.

It is not an unprimeable number, because it can be changed into a prime (87072031) 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 15 ways as a sum of consecutive naturals, for example, 51720 + ... + 53376.

It is an arithmetic number, because the mean of its divisors is an integer number (4410280).

Almost surely, 2^87072036 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 87072036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105846720).

87072036 is an abundant number, since it is smaller than the sum of its proper divisors (124621404).

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

87072036 is a wasteful number, since it uses less digits than its factorization.

87072036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 87072036 is about 9331.2397890098. The cubic root of 87072036 is about 443.2270253453.

The spelling of 87072036 in words is "eighty-seven million, seventy-two thousand, thirty-six".