7129200 has 120 divisors (see below), whose sum is σ = 24647728. Its totient is φ = 1751040.

The previous prime is 7129183. The next prime is 7129207. The reversal of 7129200 is 29217.

It is a happy number.

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7129207) 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, 15372 + ... + 15828.

Almost surely, 2^7129200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323864).

7129200 is an abundant number, since it is smaller than the sum of its proper divisors (17518528).

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

7129200 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (7129199) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (480).

7129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 7129200 is about 2670.0561791843. The cubic root of 7129200 is about 192.4628589726.

The spelling of 7129200 in words is "seven million, one hundred twenty-nine thousand, two hundred".