87752736 has 72 divisors (see below), whose sum is σ = 254299500. Its totient is φ = 28694016.

The previous prime is 87752729. The next prime is 87752741. The reversal of 87752736 is 63725778.

It can be written as a sum of positive squares in 2 ways, for example, as 83832336 + 3920400 = 9156^2 + 1980^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 87752691 and 87752700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12390 + ... + 18138.

Almost surely, 2^87752736 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 87752736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127149750).

87752736 is an abundant number, since it is smaller than the sum of its proper divisors (166546764).

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

87752736 is a wasteful number, since it uses less digits than its factorization.

87752736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818 (or 5807 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 87752736 is about 9367.6430333355. The cubic root of 87752736 is about 444.3790286685.

It can be divided in two parts, 87752 and 736, that added together give a palindrome (88488).

The spelling of 87752736 in words is "eighty-seven million, seven hundred fifty-two thousand, seven hundred thirty-six".