125335872 has 84 divisors (see below), whose sum is σ = 369024916. Its totient is φ = 40642560.

The previous prime is 125335829. The next prime is 125335877. The reversal of 125335872 is 278533521.

It is a happy number.

125335872 is a `hidden beast` number, since 1 + 2 + 533 + 58 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 16842816 = 10416^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125335877) 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 11 ways as a sum of consecutive naturals, for example, 18372 + ... + 24252.

Almost surely, 2^125335872 is an apocalyptic number.

125335872 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 125335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184512458).

125335872 is an abundant number, since it is smaller than the sum of its proper divisors (243689044).

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

125335872 is a wasteful number, since it uses less digits than its factorization.

125335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5923 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 125335872 is about 11195.3504634737. The cubic root of 125335872 is about 500.4474288288.

The spelling of 125335872 in words is "one hundred twenty-five million, three hundred thirty-five thousand, eight hundred seventy-two".