87719112 has 168 divisors, whose sum is σ = 270025650. Its totient is φ = 26687232.

The previous prime is 87719101. The next prime is 87719123. The reversal of 87719112 is 21191778.

It is an interprime number because it is at equal distance from previous prime (87719101) and next prime (87719123).

It can be written as a sum of positive squares in 3 ways, for example, as 29746116 + 57972996 = 5454^2 + 7614^2 .

It is a super-2 number, since 2×87719112² = 15389285220137088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 985564 + ... + 985652.

Almost surely, 2^87719112 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 87719112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135012825).

87719112 is an abundant number, since it is smaller than the sum of its proper divisors (182306538).

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

87719112 is a wasteful number, since it uses less digits than its factorization.

87719112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 87719112 is about 9365.8481730167. The cubic root of 87719112 is about 444.3222642114.

The spelling of 87719112 in words is "eighty-seven million, seven hundred nineteen thousand, one hundred twelve".