87452736 has 112 divisors (see below), whose sum is σ = 273100800. Its totient is φ = 24168960.

The previous prime is 87452671. The next prime is 87452741. The reversal of 87452736 is 63725478.

It is a tau number, because it is divible by the number of its divisors (112).

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

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 15 ways as a sum of consecutive naturals, for example, 40615 + ... + 42713.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 2^87452736 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 87452736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550400).

87452736 is an abundant number, since it is smaller than the sum of its proper divisors (185648064).

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

87452736 is a wasteful number, since it uses less digits than its factorization.

87452736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2142 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 87452736 is about 9351.6167586145. The cubic root of 87452736 is about 443.8720514368.

It can be divided in two parts, 87452 and 736, that added together give a palindrome (88188).

The spelling of 87452736 in words is "eighty-seven million, four hundred fifty-two thousand, seven hundred thirty-six".