127072040 has 16 divisors (see below), whose sum is σ = 285912180. Its totient is φ = 50828800.

The previous prime is 127071983. The next prime is 127072051. The reversal of 127072040 is 40270721.

It can be written as a sum of positive squares in 2 ways, for example, as 126742564 + 329476 = 11258^2 + 574^2 .

It is a super-2 number, since 2×127072040² = 32294606699523200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127071997 and 127072015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1588361 + ... + 1588440.

Almost surely, 2^127072040 is an apocalyptic number.

127072040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127072040 is an abundant number, since it is smaller than the sum of its proper divisors (158840140).

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

127072040 is a wasteful number, since it uses less digits than its factorization.

127072040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176812 (or 3176808 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 127072040 is about 11272.6234745954. The cubic root of 127072040 is about 502.7475938002.

The spelling of 127072040 in words is "one hundred twenty-seven million, seventy-two thousand, forty".