125586072 has 128 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 37661184.

The previous prime is 125586059. The next prime is 125586077. The reversal of 125586072 is 270685521.

It is a happy number.

125586072 is a `hidden beast` number, since 1 + 2 + 5 + 586 + 0 + 72 = 666.

It is a super-2 number, since 2×125586072² = 31543722960778368, which contains 22 as substring.

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 (125586077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83713 + ... + 85199.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^125586072 is an apocalyptic number.

125586072 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 125586072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

125586072 is an abundant number, since it is smaller than the sum of its proper divisors (260103528).

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

125586072 is a wasteful number, since it uses less digits than its factorization.

125586072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 125586072 is about 11206.5191741236. The cubic root of 125586072 is about 500.7802112409.

The spelling of 125586072 in words is "one hundred twenty-five million, five hundred eighty-six thousand, seventy-two".