125272736 has 48 divisors (see below), whose sum is σ = 256048128. Its totient is φ = 60268800.

The previous prime is 125272733. The next prime is 125272739. The reversal of 125272736 is 637272521.

It is an interprime number because it is at equal distance from previous prime (125272733) and next prime (125272739).

It is a junction number, because it is equal to n+sod(n) for n = 125272696 and 125272705.

It is not an unprimeable number, because it can be changed into a prime (125272733) 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 7 ways as a sum of consecutive naturals, for example, 290441 + ... + 290871.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2^125272736 is an apocalyptic number.

125272736 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 125272736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128024064).

125272736 is an abundant number, since it is smaller than the sum of its proper divisors (130775392).

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

125272736 is a wasteful number, since it uses less digits than its factorization.

125272736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 125272736 is about 11192.5303662755. The cubic root of 125272736 is about 500.3633838404.

The spelling of 125272736 in words is "one hundred twenty-five million, two hundred seventy-two thousand, seven hundred thirty-six".