125782272 has 216 divisors, whose sum is σ = 452786880. Its totient is φ = 32624640.

The previous prime is 125782271. The next prime is 125782273. The reversal of 125782272 is 272287521.

125782272 is a `hidden beast` number, since 12 + 578 + 2 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (125782271) and next prime (125782273).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125782271) 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 23 ways as a sum of consecutive naturals, for example, 177054 + ... + 177762.

Almost surely, 2^125782272 is an apocalyptic number.

125782272 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 125782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226393440).

125782272 is an abundant number, since it is smaller than the sum of its proper divisors (327004608).

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

125782272 is a wasteful number, since it uses less digits than its factorization.

125782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 732 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 125782272 is about 11215.2695910531. The cubic root of 125782272 is about 501.0408610464.

The spelling of 125782272 in words is "one hundred twenty-five million, seven hundred eighty-two thousand, two hundred seventy-two".