127572640 has 48 divisors (see below), whose sum is σ = 324579528. Its totient is φ = 47102976.

The previous prime is 127572551. The next prime is 127572649. The reversal of 127572640 is 46275721.

It can be written as a sum of positive squares in 4 ways, for example, as 113465104 + 14107536 = 10652^2 + 3756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127572596 and 127572605.

It is not an unprimeable number, because it can be changed into a prime (127572649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28587 + ... + 32746.

Almost surely, 2^127572640 is an apocalyptic number.

127572640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127572640 is an abundant number, since it is smaller than the sum of its proper divisors (197006888).

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

127572640 is a wasteful number, since it uses less digits than its factorization.

127572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61361 (or 61353 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 127572640 is about 11294.8058858929. The cubic root of 127572640 is about 503.4069197365.

The spelling of 127572640 in words is "one hundred twenty-seven million, five hundred seventy-two thousand, six hundred forty".