125280072 has 96 divisors (see below), whose sum is σ = 378237600. Its totient is φ = 37228032.

The previous prime is 125280041. The next prime is 125280073. The reversal of 125280072 is 270082521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125280073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20563 + ... + 25949.

It is an arithmetic number, because the mean of its divisors is an integer number (3939975).

Almost surely, 2^125280072 is an apocalyptic number.

125280072 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 125280072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189118800).

125280072 is an abundant number, since it is smaller than the sum of its proper divisors (252957528).

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

125280072 is a wasteful number, since it uses less digits than its factorization.

125280072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 125280072 is about 11192.8580800437. The cubic root of 125280072 is about 500.3731507810.

The spelling of 125280072 in words is "one hundred twenty-five million, two hundred eighty thousand, seventy-two".