87265752 has 64 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 24827520.

The previous prime is 87265741. The next prime is 87265771. The reversal of 87265752 is 25756278.

It is a super-2 number, since 2×87265752² = 15230622944251008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44227 + ... + 46157.

It is an arithmetic number, because the mean of its divisors is an integer number (3912300).

Almost surely, 2^87265752 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 87265752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

87265752 is an abundant number, since it is smaller than the sum of its proper divisors (163121448).

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

87265752 is a wasteful number, since it uses less digits than its factorization.

87265752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2212 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 87265752 is about 9341.6139933097. The cubic root of 87265752 is about 443.5554758853. Note that the first 3 decimals are identical.

The spelling of 87265752 in words is "eighty-seven million, two hundred sixty-five thousand, seven hundred fifty-two".