87193872 has 60 divisors (see below), whose sum is σ = 246345840. Its totient is φ = 28787904.

The previous prime is 87193861. The next prime is 87193879. The reversal of 87193872 is 27839178.

It is not an unprimeable number, because it can be changed into a prime (87193879) 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 11 ways as a sum of consecutive naturals, for example, 12579 + ... + 18237.

It is an arithmetic number, because the mean of its divisors is an integer number (4105764).

Almost surely, 2^87193872 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 87193872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123172920).

87193872 is an abundant number, since it is smaller than the sum of its proper divisors (159151968).

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

87193872 is a wasteful number, since it uses less digits than its factorization.

87193872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5771 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 87193872 is about 9337.7658998285. The cubic root of 87193872 is about 443.4336582393.

The spelling of 87193872 in words is "eighty-seven million, one hundred ninety-three thousand, eight hundred seventy-two".