125736072 has 128 divisors (see below), whose sum is σ = 412646400. Its totient is φ = 30931200.

The previous prime is 125736071. The next prime is 125736089. The reversal of 125736072 is 270637521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (125736071) 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, 33322 + ... + 36902.

It is an arithmetic number, because the mean of its divisors is an integer number (3223800).

Almost surely, 2^125736072 is an apocalyptic number.

125736072 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 125736072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206323200).

125736072 is an abundant number, since it is smaller than the sum of its proper divisors (286910328).

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

125736072 is a wasteful number, since it uses less digits than its factorization.

125736072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 125736072 is about 11213.2097099805. The cubic root of 125736072 is about 500.9795092037.

The spelling of 125736072 in words is "one hundred twenty-five million, seven hundred thirty-six thousand, seventy-two".