125727360 has 128 divisors (see below), whose sum is σ = 437261760. Its totient is φ = 30474240.

The previous prime is 125727353. The next prime is 125727373. The reversal of 125727360 is 63727521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18144 + ... + 24096.

Almost surely, 2^125727360 is an apocalyptic number.

125727360 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 125727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218630880).

125727360 is an abundant number, since it is smaller than the sum of its proper divisors (311534400).

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

125727360 is a wasteful number, since it uses less digits than its factorization.

125727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 125727360 is about 11212.8212328566. The cubic root of 125727360 is about 500.9679383150.

The spelling of 125727360 in words is "one hundred twenty-five million, seven hundred twenty-seven thousand, three hundred sixty".