125784672 has 72 divisors (see below), whose sum is σ = 357583464. Its totient is φ = 38697984.

The previous prime is 125784647. The next prime is 125784689. The reversal of 125784672 is 276487521.

It is a congruent number.

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, 12348 + ... + 20100.

It is an arithmetic number, because the mean of its divisors is an integer number (4966437).

Almost surely, 2^125784672 is an apocalyptic number.

125784672 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 125784672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178791732).

125784672 is an abundant number, since it is smaller than the sum of its proper divisors (231798792).

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

125784672 is a wasteful number, since it uses less digits than its factorization.

125784672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7771 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 125784672 is about 11215.3765875248. The cubic root of 125784672 is about 501.0440477445.

The spelling of 125784672 in words is "one hundred twenty-five million, seven hundred eighty-four thousand, six hundred seventy-two".