127072620 has 144 divisors (see below), whose sum is σ = 412540128. Its totient is φ = 31549440.

The previous prime is 127072613. The next prime is 127072643. The reversal of 127072620 is 26270721.

It is a super-2 number, since 2×127072620² = 32294901507328800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400702 + ... + 401018.

It is an arithmetic number, because the mean of its divisors is an integer number (2864862).

Almost surely, 2^127072620 is an apocalyptic number.

127072620 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 127072620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206270064).

127072620 is an abundant number, since it is smaller than the sum of its proper divisors (285467508).

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

127072620 is a wasteful number, since it uses less digits than its factorization.

127072620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 127072620 is about 11272.6492006094. The cubic root of 127072620 is about 502.7483587027.

The spelling of 127072620 in words is "one hundred twenty-seven million, seventy-two thousand, six hundred twenty".