97200576 has 252 divisors, whose sum is σ = 328681080. Its totient is φ = 27202560.

The previous prime is 97200557. The next prime is 97200601. The reversal of 97200576 is 67500279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 97200576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3351730 + ... + 3351758.

It is an arithmetic number, because the mean of its divisors is an integer number (1304290).

Almost surely, 2^97200576 is an apocalyptic number.

97200576 is a gapful number since it is divisible by the number (96) 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 97200576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164340540).

97200576 is an abundant number, since it is smaller than the sum of its proper divisors (231480504).

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

97200576 is a wasteful number, since it uses less digits than its factorization.

97200576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97200576 is about 9859.0352469194. The cubic root of 97200576 is about 459.7865676529.

The spelling of 97200576 in words is "ninety-seven million, two hundred thousand, five hundred seventy-six".