127340672 has 64 divisors (see below), whose sum is σ = 264090240. Its totient is φ = 61117440.

The previous prime is 127340671. The next prime is 127340687. The reversal of 127340672 is 276043721.

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

It is a super-3 number, since 3×127340672³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (127340671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366803 + ... + 367149.

It is an arithmetic number, because the mean of its divisors is an integer number (4126410).

Almost surely, 2^127340672 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 127340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132045120).

127340672 is an abundant number, since it is smaller than the sum of its proper divisors (136749568).

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

127340672 is an equidigital number, since it uses as much as digits as its factorization.

127340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 127340672 is about 11284.5324227457. The cubic root of 127340672 is about 503.1016161708.

The spelling of 127340672 in words is "one hundred twenty-seven million, three hundred forty thousand, six hundred seventy-two".