97200288 has 72 divisors (see below), whose sum is σ = 292687668. Its totient is φ = 30492672.

The previous prime is 97200287. The next prime is 97200293. The reversal of 97200288 is 88200279.

It can be written as a sum of positive squares in 2 ways, for example, as 97061904 + 138384 = 9852^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (97200281) 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 11 ways as a sum of consecutive naturals, for example, 5031 + ... + 14822.

Almost surely, 2^97200288 is an apocalyptic number.

It is an amenable number.

97200288 is an abundant number, since it is smaller than the sum of its proper divisors (195487380).

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

97200288 is a wasteful number, since it uses less digits than its factorization.

97200288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19886 (or 19875 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 97200288 is about 9859.0206410170. The cubic root of 97200288 is about 459.7861135450.

Subtracting from 97200288 its reverse (88200279), we obtain a palindrome (9000009).

The spelling of 97200288 in words is "ninety-seven million, two hundred thousand, two hundred eighty-eight".