97027200 has 192 divisors, whose sum is σ = 355408800. Its totient is φ = 25850880.

The previous prime is 97027199. The next prime is 97027201. The reversal of 97027200 is 272079.

It is an interprime number because it is at equal distance from previous prime (97027199) and next prime (97027201).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (97027201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85839 + ... + 86961.

Almost surely, 2^97027200 is an apocalyptic number.

97027200 is a gapful number since it is divisible by the number (90) 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 97027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177704400).

97027200 is an abundant number, since it is smaller than the sum of its proper divisors (258381600).

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

97027200 is a wasteful number, since it uses less digits than its factorization.

97027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 97027200 is about 9850.2385757909. The cubic root of 97027200 is about 459.5130322394.

Adding to 97027200 its reverse (272079), we get a palindrome (97299279).

The spelling of 97027200 in words is "ninety-seven million, twenty-seven thousand, two hundred".