125272064 has 32 divisors (see below), whose sum is σ = 250605840. Its totient is φ = 62619648.

The previous prime is 125271941. The next prime is 125272079. The reversal of 125272064 is 460272521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30857 + ... + 34679.

Almost surely, 2^125272064 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 125272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125302920).

125272064 is an abundant number, since it is smaller than the sum of its proper divisors (125333776).

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

125272064 is an frugal number, since it uses more digits than its factorization.

125272064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 125272064 is about 11192.5003462140. The cubic root of 125272064 is about 500.3624891397.

The spelling of 125272064 in words is "one hundred twenty-five million, two hundred seventy-two thousand, sixty-four".