125656272 has 220 divisors, whose sum is σ = 439322080. Its totient is φ = 34012224.

The previous prime is 125656261. The next prime is 125656303. The reversal of 125656272 is 272656521.

125656272 is a `hidden beast` number, since 1 + 25 + 6 + 5 + 627 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 6613479 + ... + 6613497.

Almost surely, 2^125656272 is an apocalyptic number.

125656272 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 125656272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219661040).

125656272 is an abundant number, since it is smaller than the sum of its proper divisors (313665808).

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

125656272 is an frugal number, since it uses more digits than its factorization.

125656272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 125656272 is about 11209.6508420200. The cubic root of 125656272 is about 500.8735024317.

The spelling of 125656272 in words is "one hundred twenty-five million, six hundred fifty-six thousand, two hundred seventy-two".