127582720 has 160 divisors (see below), whose sum is σ = 334889280. Its totient is φ = 46448640.

The previous prime is 127582691. The next prime is 127582729. The reversal of 127582720 is 27285721.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127582729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091490 + ... + 2091550.

It is an arithmetic number, because the mean of its divisors is an integer number (2093058).

Almost surely, 2^127582720 is an apocalyptic number.

127582720 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 127582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167444640).

127582720 is an abundant number, since it is smaller than the sum of its proper divisors (207306560).

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

127582720 is an equidigital number, since it uses as much as digits as its factorization.

127582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 127582720 is about 11295.2520998869. The cubic root of 127582720 is about 503.4201780865.

The spelling of 127582720 in words is "one hundred twenty-seven million, five hundred eighty-two thousand, seven hundred twenty".