127500 has 60 divisors (see below), whose sum is σ = 393624. Its totient is φ = 32000.

The previous prime is 127493. The next prime is 127507. The reversal of 127500 is 5721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127493) and next prime (127507).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 127500.

It is not an unprimeable number, because it can be changed into a prime (127507) by changing a digit.

127500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7492 + ... + 7508.

2¹²⁷⁵⁰⁰ is an apocalyptic number.

127500 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 127500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196812).

127500 is an abundant number, since it is smaller than the sum of its proper divisors (266124).

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

127500 is a wasteful number, since it uses less digits than its factorization.

127500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 127500 is about 357.0714214271. The cubic root of 127500 is about 50.3311354780.

It can be divided in two parts, 12 and 7500, that multiplied together give a square (90000 = 300²).

The spelling of 127500 in words is "one hundred twenty-seven thousand, five hundred".