125072 has 10 divisors (see below), whose sum is σ = 242358. Its totient is φ = 62528.

The previous prime is 125063. The next prime is 125093. The reversal of 125072 is 270521.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 59536 = 256^2 + 244^2 .

It is a super-4 number, since 4×125072⁴ (a number of 21 digits) contains 4444 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 125072.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125072.

It is an unprimeable number.

125072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3893 + ... + 3924.

125072 is a Friedman number, since it can be written as 72+50^(2+1), using all its digits and the basic arithmetic operations.

2¹²⁵⁰⁷² is an apocalyptic number.

It is an amenable number.

125072 is a deficient number, since it is larger than the sum of its proper divisors (117286).

125072 is an equidigital number, since it uses as much as digits as its factorization.

125072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 125072 is about 353.6551993114. The cubic root of 125072 is about 50.0095981574.

Adding to 125072 its reverse (270521), we get a palindrome (395593).

It can be divided in two parts, 1250 and 72, that multiplied together give a square (90000 = 300²).

The spelling of 125072 in words is "one hundred twenty-five thousand, seventy-two".