125011872 has 72 divisors (see below), whose sum is σ = 357817824. Its totient is φ = 41399424.

The previous prime is 125011853. The next prime is 125011919. The reversal of 125011872 is 278110521.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45613 + ... + 48275.

It is an arithmetic number, because the mean of its divisors is an integer number (4969692).

Almost surely, 2^125011872 is an apocalyptic number.

125011872 is a gapful number since it is divisible by the number (12) 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 125011872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178908912).

125011872 is an abundant number, since it is smaller than the sum of its proper divisors (232805952).

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

125011872 is a wasteful number, since it uses less digits than its factorization.

125011872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 125011872 is about 11180.8708068737. The cubic root of 125011872 is about 500.0158288322.

The spelling of 125011872 in words is "one hundred twenty-five million, eleven thousand, eight hundred seventy-two".