125272332 has 54 divisors (see below), whose sum is σ = 329306068. Its totient is φ = 41641128.

The previous prime is 125272331. The next prime is 125272349. The reversal of 125272332 is 233272521.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125272296 and 125272305.

It is not an unprimeable number, because it can be changed into a prime (125272331) 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 17 ways as a sum of consecutive naturals, for example, 348769 + ... + 349127.

Almost surely, 2^125272332 is an apocalyptic number.

125272332 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 125272332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164653034).

125272332 is an abundant number, since it is smaller than the sum of its proper divisors (204033736).

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

125272332 is an frugal number, since it uses more digits than its factorization.

125272332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 364 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 125272332 is about 11192.5123185101. The cubic root of 125272332 is about 500.3628459553.

Multiplying 125272332 by its sum of digits (27), we get a square (3382352964 = 58158²).

125272332 divided by its sum of digits (27) gives a square (4639716 = 2154²).

The spelling of 125272332 in words is "one hundred twenty-five million, two hundred seventy-two thousand, three hundred thirty-two".