127406720 has 64 divisors (see below), whose sum is σ = 348105600. Its totient is φ = 43680768.

The previous prime is 127406717. The next prime is 127406737. The reversal of 127406720 is 27604721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×127406720³ (a number of 25 digits) contains 333 as substring.

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, 9740 + ... + 18699.

It is an arithmetic number, because the mean of its divisors is an integer number (5439150).

Almost surely, 2^127406720 is an apocalyptic number.

127406720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127406720 is an abundant number, since it is smaller than the sum of its proper divisors (220698880).

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

127406720 is an equidigital number, since it uses as much as digits as its factorization.

127406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28465 (or 28453 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 127406720 is about 11287.4585270556. The cubic root of 127406720 is about 503.1885826566.

The spelling of 127406720 in words is "one hundred twenty-seven million, four hundred six thousand, seven hundred twenty".