87049872 has 270 divisors, whose sum is σ = 311073282. Its totient is φ = 22643712.

The previous prime is 87049861. The next prime is 87049913. The reversal of 87049872 is 27894078.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 86936976 = 336^2 + 9324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1192428 + ... + 1192500.

Almost surely, 2^87049872 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 87049872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155536641).

87049872 is an abundant number, since it is smaller than the sum of its proper divisors (224023410).

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

87049872 is a wasteful number, since it uses less digits than its factorization.

87049872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

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

The square root of 87049872 is about 9330.0520898867. The cubic root of 87049872 is about 443.1894146577.

The spelling of 87049872 in words is "eighty-seven million, forty-nine thousand, eight hundred seventy-two".