125267472 has 240 divisors, whose sum is σ = 414348480. Its totient is φ = 36288000.

The previous prime is 125267447. The next prime is 125267491. The reversal of 125267472 is 274762521.

It is a happy number.

125267472 is a `hidden beast` number, since 125 + 2 + 67 + 472 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240222 + ... + 1240322.

It is an arithmetic number, because the mean of its divisors is an integer number (1726452).

Almost surely, 2^125267472 is an apocalyptic number.

125267472 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 125267472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

125267472 is an abundant number, since it is smaller than the sum of its proper divisors (289081008).

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

125267472 is a wasteful number, since it uses less digits than its factorization.

125267472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 125267472 is about 11192.2952069716. The cubic root of 125267472 is about 500.3563752663.

The spelling of 125267472 in words is "one hundred twenty-five million, two hundred sixty-seven thousand, four hundred seventy-two".