87430752 has 120 divisors (see below), whose sum is σ = 260706600. Its totient is φ = 28740096.

The previous prime is 87430747. The next prime is 87430771. The reversal of 87430752 is 25703478.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 230499 + ... + 230877.

It is an arithmetic number, because the mean of its divisors is an integer number (2172555).

Almost surely, 2^87430752 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 87430752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130353300).

87430752 is an abundant number, since it is smaller than the sum of its proper divisors (173275848).

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

87430752 is a wasteful number, since it uses less digits than its factorization.

87430752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 87430752 is about 9350.4412730095. The cubic root of 87430752 is about 443.8348545790.

It can be divided in two parts, 874 and 30752, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 87430752 in words is "eighty-seven million, four hundred thirty thousand, seven hundred fifty-two".