127305472 has 72 divisors (see below), whose sum is σ = 305782400. Its totient is φ = 51674112.

The previous prime is 127305467. The next prime is 127305487. The reversal of 127305472 is 274503721.

It is a super-2 number, since 2×127305472² = 32413366402285568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32179 + ... + 35917.

Almost surely, 2^127305472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152891200).

127305472 is an abundant number, since it is smaller than the sum of its proper divisors (178476928).

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

127305472 is an equidigital number, since it uses as much as digits as its factorization.

127305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 127305472 is about 11282.9726579479. The cubic root of 127305472 is about 503.0552554686.

The spelling of 127305472 in words is "one hundred twenty-seven million, three hundred five thousand, four hundred seventy-two".