87725160 has 128 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 22837248.

The previous prime is 87725119. The next prime is 87725161. The reversal of 87725160 is 6152778.

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

It is not an unprimeable number, because it can be changed into a prime (87725161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45496 + ... + 47384.

It is an arithmetic number, because the mean of its divisors is an integer number (2338875).

Almost surely, 2^87725160 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 87725160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

87725160 is an abundant number, since it is smaller than the sum of its proper divisors (211650840).

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

87725160 is a wasteful number, since it uses less digits than its factorization.

87725160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87725160 is about 9366.1710426406. The cubic root of 87725160 is about 444.3324755904.

The spelling of 87725160 in words is "eighty-seven million, seven hundred twenty-five thousand, one hundred sixty".