127248576 has 112 divisors (see below), whose sum is σ = 414430464. Its totient is φ = 33555456.

The previous prime is 127248571. The next prime is 127248631. The reversal of 127248576 is 675842721.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (127248571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13831 + ... + 21113.

It is an arithmetic number, because the mean of its divisors is an integer number (3700272).

Almost surely, 2^127248576 is an apocalyptic number.

127248576 is a gapful number since it is divisible by the number (16) 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 127248576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207215232).

127248576 is an abundant number, since it is smaller than the sum of its proper divisors (287181888).

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

127248576 is a wasteful number, since it uses less digits than its factorization.

127248576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318 (or 7308 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 127248576 is about 11280.4510548116. The cubic root of 127248576 is about 502.9803016421.

The spelling of 127248576 in words is "one hundred twenty-seven million, two hundred forty-eight thousand, five hundred seventy-six".