127672500 has 120 divisors (see below), whose sum is σ = 385751520. Its totient is φ = 32816000.

The previous prime is 127672487. The next prime is 127672537. The reversal of 127672500 is 5276721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217207 + ... + 217793.

It is an arithmetic number, because the mean of its divisors is an integer number (3214596).

Almost surely, 2^127672500 is an apocalyptic number.

127672500 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 127672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192875760).

127672500 is an abundant number, since it is smaller than the sum of its proper divisors (258079020).

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

127672500 is a wasteful number, since it uses less digits than its factorization.

127672500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 127672500 is about 11299.2256371842. The cubic root of 127672500 is about 503.5382360440.

The spelling of 127672500 in words is "one hundred twenty-seven million, six hundred seventy-two thousand, five hundred".