90127200 has 216 divisors, whose sum is σ = 317370312. Its totient is φ = 22138880.

The previous prime is 90127171. The next prime is 90127223. The reversal of 90127200 is 272109.

It is a happy number.

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, 1917577 + ... + 1917623.

It is an arithmetic number, because the mean of its divisors is an integer number (1469307).

Almost surely, 2^90127200 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 90127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158685156).

90127200 is an abundant number, since it is smaller than the sum of its proper divisors (227243112).

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

90127200 is a wasteful number, since it uses less digits than its factorization.

90127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 74 counting only the distinct ones).

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

The square root of 90127200 is about 9493.5346420604. The cubic root of 90127200 is about 448.3514992278.

Adding to 90127200 its reverse (272109), we get a palindrome (90399309).

The spelling of 90127200 in words is "ninety million, one hundred twenty-seven thousand, two hundred".