127390032 has 120 divisors (see below), whose sum is σ = 444525120. Its totient is φ = 33085440.

The previous prime is 127390009. The next prime is 127390051. The reversal of 127390032 is 230093721.

It is a super-2 number, since 2×127390032² = 32456440505922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127389978 and 127390005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5344 + ... + 16832.

It is an arithmetic number, because the mean of its divisors is an integer number (3704376).

Almost surely, 2^127390032 is an apocalyptic number.

127390032 is a gapful number since it is divisible by the number (12) 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 127390032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222262560).

127390032 is an abundant number, since it is smaller than the sum of its proper divisors (317135088).

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

127390032 is a wasteful number, since it uses less digits than its factorization.

127390032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11521 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 127390032 is about 11286.7192753253. The cubic root of 127390032 is about 503.1666121312.

The spelling of 127390032 in words is "one hundred twenty-seven million, three hundred ninety thousand, thirty-two".