87816672 has 72 divisors (see below), whose sum is σ = 252284760. Its totient is φ = 28972800.

The previous prime is 87816671. The next prime is 87816697. The reversal of 87816672 is 27661878.

It is a tau number, because it is divible by the number of its divisors (72).

Its product of digits (225792) is a multiple of the sum of its prime factors (3136).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87816671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27579 + ... + 30597.

It is an arithmetic number, because the mean of its divisors is an integer number (3503955).

Almost surely, 2^87816672 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 87816672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126142380).

87816672 is an abundant number, since it is smaller than the sum of its proper divisors (164468088).

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

87816672 is a wasteful number, since it uses less digits than its factorization.

87816672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3125 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 87816672 is about 9371.0550099762. The cubic root of 87816672 is about 444.4869262356.

It can be divided in two parts, 87816 and 672, that added together give a palindrome (88488).

The spelling of 87816672 in words is "eighty-seven million, eight hundred sixteen thousand, six hundred seventy-two".