87873672 has 64 divisors (see below), whose sum is σ = 225164160. Its totient is φ = 28569600.

The previous prime is 87873671. The next prime is 87873673. The reversal of 87873672 is 27637878.

It is an interprime number because it is at equal distance from previous prime (87873671) and next prime (87873673).

It is not an unprimeable number, because it can be changed into a prime (87873671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282397 + ... + 282707.

It is an arithmetic number, because the mean of its divisors is an integer number (3518190).

Almost surely, 2^87873672 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 87873672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112582080).

87873672 is an abundant number, since it is smaller than the sum of its proper divisors (137290488).

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

87873672 is a wasteful number, since it uses less digits than its factorization.

87873672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 570 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 87873672 is about 9374.0957963955. The cubic root of 87873672 is about 444.5830745506.

The spelling of 87873672 in words is "eighty-seven million, eight hundred seventy-three thousand, six hundred seventy-two".