30097200 has 120 divisors (see below), whose sum is σ = 110215168. Its totient is φ = 6877440.

The previous prime is 30097181. The next prime is 30097201. The reversal of 30097200 is 279003.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (30097201) 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, 6609 + ... + 10191.

Almost surely, 2^30097200 is an apocalyptic number.

30097200 is a gapful number since it is divisible by the number (30) 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 30097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55107584).

30097200 is an abundant number, since it is smaller than the sum of its proper divisors (80117968).

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

30097200 is a wasteful number, since it uses less digits than its factorization.

30097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 30097200 is about 5486.0915048876. The cubic root of 30097200 is about 311.0584699294.

It can be divided in two parts, 300 and 97200, that multiplied together give a square (29160000 = 5400²).

The spelling of 30097200 in words is "thirty million, ninety-seven thousand, two hundred".