87225120 has 192 divisors, whose sum is σ = 311230080. Its totient is φ = 22809600.

The previous prime is 87225107. The next prime is 87225137. The reversal of 87225120 is 2152278.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263355 + ... + 263685.

It is an arithmetic number, because the mean of its divisors is an integer number (1620990).

Almost surely, 2^87225120 is an apocalyptic number.

87225120 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 87225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155615040).

87225120 is an abundant number, since it is smaller than the sum of its proper divisors (224004960).

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

87225120 is a wasteful number, since it uses less digits than its factorization.

87225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 87225120 is about 9339.4389553120. The cubic root of 87225120 is about 443.4866235823.

Adding to 87225120 its reverse (2152278), we get a palindrome (89377398).

The spelling of 87225120 in words is "eighty-seven million, two hundred twenty-five thousand, one hundred twenty".