87715672 has 64 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 38640000.

The previous prime is 87715643. The next prime is 87715697. The reversal of 87715672 is 27651778.

It is a super-3 number, since 3×87715672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 630979 + ... + 631117.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^87715672 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 87715672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

87715672 is an abundant number, since it is smaller than the sum of its proper divisors (97353128).

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

87715672 is a wasteful number, since it uses less digits than its factorization.

87715672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its digits is 164640, while the sum is 43.

The square root of 87715672 is about 9365.6645252753. The cubic root of 87715672 is about 444.3164559425.

The spelling of 87715672 in words is "eighty-seven million, seven hundred fifteen thousand, six hundred seventy-two".