87003672 has 64 divisors (see below), whose sum is σ = 250836480. Its totient is φ = 24632832.

The previous prime is 87003667. The next prime is 87003743. The reversal of 87003672 is 27630078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16693 + ... + 21275.

It is an arithmetic number, because the mean of its divisors is an integer number (3919320).

Almost surely, 2^87003672 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 87003672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125418240).

87003672 is an abundant number, since it is smaller than the sum of its proper divisors (163832808).

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

87003672 is a wasteful number, since it uses less digits than its factorization.

87003672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4708 counting only the distinct ones).

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

The square root of 87003672 is about 9327.5758908733. The cubic root of 87003672 is about 443.1109961073.

The spelling of 87003672 in words is "eighty-seven million, three thousand, six hundred seventy-two".