125803872 has 36 divisors (see below), whose sum is σ = 357755580. Its totient is φ = 41934528.

The previous prime is 125803861. The next prime is 125803877. The reversal of 125803872 is 278308521.

125803872 is a `hidden beast` number, since 1 + 2 + 580 + 3 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×125803872² = 31653228420384768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (125803877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 218122 + ... + 218697.

It is an arithmetic number, because the mean of its divisors is an integer number (9937655).

Almost surely, 2^125803872 is an apocalyptic number.

125803872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125803872 is an abundant number, since it is smaller than the sum of its proper divisors (231951708).

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

125803872 is a wasteful number, since it uses less digits than its factorization.

125803872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436835 (or 436824 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 125803872 is about 11216.2325225541. The cubic root of 125803872 is about 501.0695398710.

The spelling of 125803872 in words is "one hundred twenty-five million, eight hundred three thousand, eight hundred seventy-two".