87742752 has 48 divisors (see below), whose sum is σ = 232116192. Its totient is φ = 29020160.

The previous prime is 87742751. The next prime is 87742789. The reversal of 87742752 is 25724778.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (87742751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9088 + ... + 16064.

It is an arithmetic number, because the mean of its divisors is an integer number (4835754).

Almost surely, 2^87742752 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 87742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116058096).

87742752 is an abundant number, since it is smaller than the sum of its proper divisors (144373440).

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

87742752 is a wasteful number, since it uses less digits than its factorization.

87742752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7113 counting only the distinct ones).

The product of its digits is 219520, while the sum is 42.

The square root of 87742752 is about 9367.1101199890. The cubic root of 87742752 is about 444.3621750687.

The spelling of 87742752 in words is "eighty-seven million, seven hundred forty-two thousand, seven hundred fifty-two".