125361072 has 60 divisors (see below), whose sum is σ = 351915720. Its totient is φ = 41658624.

The previous prime is 125361053. The next prime is 125361073. The reversal of 125361072 is 270163521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (125361073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53428 + ... + 55724.

It is an arithmetic number, because the mean of its divisors is an integer number (5865262).

Almost surely, 2^125361072 is an apocalyptic number.

125361072 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 125361072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175957860).

125361072 is an abundant number, since it is smaller than the sum of its proper divisors (226554648).

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

125361072 is a wasteful number, since it uses less digits than its factorization.

125361072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 125361072 is about 11196.4758741311. The cubic root of 125361072 is about 500.4809665274.

The spelling of 125361072 in words is "one hundred twenty-five million, three hundred sixty-one thousand, seventy-two".