87144720 has 320 divisors, whose sum is σ = 323979264. Its totient is φ = 19169280.

The previous prime is 87144709. The next prime is 87144727. The reversal of 87144720 is 2744178.

It is not an unprimeable number, because it can be changed into a prime (87144727) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1644214 + ... + 1644266.

Almost surely, 2^87144720 is an apocalyptic number.

87144720 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 87144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

87144720 is an abundant number, since it is smaller than the sum of its proper divisors (236834544).

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

87144720 is a wasteful number, since it uses less digits than its factorization.

87144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 87144720 is about 9335.1336358940. The cubic root of 87144720 is about 443.3503200129.

Adding to 87144720 its reverse (2744178), we get a palindrome (89888898).

The spelling of 87144720 in words is "eighty-seven million, one hundred forty-four thousand, seven hundred twenty".