127772560 has 20 divisors (see below), whose sum is σ = 297071388. Its totient is φ = 51108992.

The previous prime is 127772543. The next prime is 127772569. The reversal of 127772560 is 65277721.

It can be written as a sum of positive squares in 2 ways, for example, as 75759616 + 52012944 = 8704^2 + 7212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (127772569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 798499 + ... + 798658.

Almost surely, 2^127772560 is an apocalyptic number.

127772560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127772560 is an abundant number, since it is smaller than the sum of its proper divisors (169298828).

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

127772560 is a wasteful number, since it uses less digits than its factorization.

127772560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597170 (or 1597164 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 127772560 is about 11303.6525070439. The cubic root of 127772560 is about 503.6697466909.

It can be divided in two parts, 1277 and 72560, that added together give a palindrome (73837).

The spelling of 127772560 in words is "one hundred twenty-seven million, seven hundred seventy-two thousand, five hundred sixty".