127729040 has 40 divisors (see below), whose sum is σ = 297977208. Its totient is φ = 50918400.

The previous prime is 127729037. The next prime is 127729057. The reversal of 127729040 is 40927721.

It can be written as a sum of positive squares in 4 ways, for example, as 20647936 + 107081104 = 4544^2 + 10348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 127728988 and 127729006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22490 + ... + 27590.

Almost surely, 2^127729040 is an apocalyptic number.

127729040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127729040 is an abundant number, since it is smaller than the sum of its proper divisors (170248168).

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

127729040 is a wasteful number, since it uses less digits than its factorization.

127729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 127729040 is about 11301.7273016119. The cubic root of 127729040 is about 503.6125560169.

It can be divided in two parts, 12772 and 9040, that added together give a palindrome (21812).

The spelling of 127729040 in words is "one hundred twenty-seven million, seven hundred twenty-nine thousand, forty".