125742672 has 160 divisors (see below), whose sum is σ = 402831360. Its totient is φ = 37226880.

The previous prime is 125742653. The next prime is 125742731. The reversal of 125742672 is 276247521.

It is a happy number.

125742672 is a `hidden beast` number, since 12 + 574 + 2 + 6 + 72 = 666.

It is a super-2 number, since 2×125742672² = 31622439123399168, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 223063 + ... + 223625.

It is an arithmetic number, because the mean of its divisors is an integer number (2517696).

Almost surely, 2^125742672 is an apocalyptic number.

125742672 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 125742672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201415680).

125742672 is an abundant number, since it is smaller than the sum of its proper divisors (277088688).

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

125742672 is a wasteful number, since it uses less digits than its factorization.

125742672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 626 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 125742672 is about 11213.5040018720. The cubic root of 125742672 is about 500.9882746727.

The spelling of 125742672 in words is "one hundred twenty-five million, seven hundred forty-two thousand, six hundred seventy-two".