125672544 has 144 divisors (see below), whose sum is σ = 379753920. Its totient is φ = 39352320.

The previous prime is 125672527. The next prime is 125672557. The reversal of 125672544 is 445276521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 125672499 and 125672508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342249 + ... + 342615.

It is an arithmetic number, because the mean of its divisors is an integer number (2637180).

Almost surely, 2^125672544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125672544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189876960).

125672544 is an abundant number, since it is smaller than the sum of its proper divisors (254081376).

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

125672544 is a wasteful number, since it uses less digits than its factorization.

125672544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 125672544 is about 11210.3766216840. The cubic root of 125672544 is about 500.8951218907.

The spelling of 125672544 in words is "one hundred twenty-five million, six hundred seventy-two thousand, five hundred forty-four".