125881272 has 48 divisors (see below), whose sum is σ = 371924280. Its totient is φ = 38145600.

The previous prime is 125881271. The next prime is 125881291. The reversal of 125881272 is 272188521.

125881272 is a `hidden beast` number, since 1 + 2 + 588 + 1 + 2 + 72 = 666.

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 (125881271) 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, 78679 + ... + 80262.

Almost surely, 2^125881272 is an apocalyptic number.

125881272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125881272 is an abundant number, since it is smaller than the sum of its proper divisors (246043008).

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

125881272 is a wasteful number, since it uses less digits than its factorization.

125881272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158964 (or 158957 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 125881272 is about 11219.6823484446. The cubic root of 125881272 is about 501.1722787106.

It can be divided in two parts, 1258812 and 72, that added together give a square (1258884 = 1122²).

The spelling of 125881272 in words is "one hundred twenty-five million, eight hundred eighty-one thousand, two hundred seventy-two".