87037120 has 112 divisors (see below), whose sum is σ = 218907360. Its totient is φ = 32915456.

The previous prime is 87037073. The next prime is 87037121. The reversal of 87037120 is 2173078.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87037121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770184 + ... + 770296.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 2^87037120 is an apocalyptic number.

87037120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

87037120 is an abundant number, since it is smaller than the sum of its proper divisors (131870240).

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

87037120 is a wasteful number, since it uses less digits than its factorization.

87037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 87037120 is about 9329.3686817490. The cubic root of 87037120 is about 443.1677725527.

The spelling of 87037120 in words is "eighty-seven million, thirty-seven thousand, one hundred twenty".