127723320 has 192 divisors, whose sum is σ = 444787200. Its totient is φ = 31691520.

The previous prime is 127723313. The next prime is 127723327. The reversal of 127723320 is 23327721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127723313) and next prime (127723327).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127723327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485509 + ... + 485771.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 2^127723320 is an apocalyptic number.

127723320 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 127723320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

127723320 is an abundant number, since it is smaller than the sum of its proper divisors (317063880).

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

127723320 is a wasteful number, since it uses less digits than its factorization.

127723320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 127723320 is about 11301.4742401158. The cubic root of 127723320 is about 503.6050382620.

The spelling of 127723320 in words is "one hundred twenty-seven million, seven hundred twenty-three thousand, three hundred twenty".