127232400 has 120 divisors (see below), whose sum is σ = 410231680. Its totient is φ = 33707520.

The previous prime is 127232393. The next prime is 127232407. The reversal of 127232400 is 4232721.

It is an interprime number because it is at equal distance from previous prime (127232393) and next prime (127232407).

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

It is not an unprimeable number, because it can be changed into a prime (127232407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274569 + ... + 275031.

Almost surely, 2^127232400 is an apocalyptic number.

127232400 is a gapful number since it is divisible by the number (10) 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 127232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205115840).

127232400 is an abundant number, since it is smaller than the sum of its proper divisors (282999280).

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

127232400 is a wasteful number, since it uses less digits than its factorization.

127232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 127232400 is about 11279.7340394178. The cubic root of 127232400 is about 502.9589875748.

The spelling of 127232400 in words is "one hundred twenty-seven million, two hundred thirty-two thousand, four hundred".