4127200 has 144 divisors (see below), whose sum is σ = 12749184. Its totient is φ = 1267200.

The previous prime is 4127191. The next prime is 4127231. The reversal of 4127200 is 27214.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61567 + ... + 61633.

It is an arithmetic number, because the mean of its divisors is an integer number (88536).

Almost surely, 2^4127200 is an apocalyptic number.

4127200 is a gapful number since it is divisible by the number (40) 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 4127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592).

4127200 is an abundant number, since it is smaller than the sum of its proper divisors (8621984).

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

4127200 is a wasteful number, since it uses less digits than its factorization.

4127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4127200 is about 2031.5511315249. The cubic root of 4127200 is about 160.4052228489.

The spelling of 4127200 in words is "four million, one hundred twenty-seven thousand, two hundred".