97200672 has 24 divisors (see below), whose sum is σ = 255152016. Its totient is φ = 32400192.

The previous prime is 97200659. The next prime is 97200673. The reversal of 97200672 is 27600279.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (97200673) 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 3 ways as a sum of consecutive naturals, for example, 506158 + ... + 506349.

It is an arithmetic number, because the mean of its divisors is an integer number (10631334).

Almost surely, 2^97200672 is an apocalyptic number.

It is an amenable number.

97200672 is an abundant number, since it is smaller than the sum of its proper divisors (157951344).

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

97200672 is a wasteful number, since it uses less digits than its factorization.

97200672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012520 (or 1012512 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 97200672 is about 9859.0401155488. The cubic root of 97200672 is about 459.7867190220.

The spelling of 97200672 in words is "ninety-seven million, two hundred thousand, six hundred seventy-two".