127252000 has 96 divisors (see below), whose sum is σ = 323734320. Its totient is φ = 49100800.

The previous prime is 127251989. The next prime is 127252001. The reversal of 127252000 is 252721.

It can be written as a sum of positive squares in 8 ways, for example, as 824464 + 126427536 = 908^2 + 11244^2 .

It is not an unprimeable number, because it can be changed into a prime (127252001) 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 15 ways as a sum of consecutive naturals, for example, 115452 + ... + 116548.

Almost surely, 2^127252000 is an apocalyptic number.

127252000 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 127252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161867160).

127252000 is an abundant number, since it is smaller than the sum of its proper divisors (196482320).

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

127252000 is a wasteful number, since it uses less digits than its factorization.

127252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 127252000 is about 11280.6028207716. The cubic root of 127252000 is about 502.9848129934.

It can be divided in two parts, 127 and 252000, that multiplied together give a triangular number (32004000 = T₈₀₀₀).

The spelling of 127252000 in words is "one hundred twenty-seven million, two hundred fifty-two thousand".