125772096 has 112 divisors (see below), whose sum is σ = 365760000. Its totient is φ = 37965312.

The previous prime is 125772091. The next prime is 125772109. The reversal of 125772096 is 690277521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125772091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83155 + ... + 84653.

Almost surely, 2^125772096 is an apocalyptic number.

125772096 is a gapful number since it is divisible by the number (16) 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 125772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880000).

125772096 is an abundant number, since it is smaller than the sum of its proper divisors (239987904).

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

125772096 is a wasteful number, since it uses less digits than its factorization.

125772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 125772096 is about 11214.8159146729. The cubic root of 125772096 is about 501.0273489957.

The spelling of 125772096 in words is "one hundred twenty-five million, seven hundred seventy-two thousand, ninety-six".