736125 has 32 divisors (see below), whose sum is σ = 1327872. Its totient is φ = 360000.

The previous prime is 736121. The next prime is 736147. The reversal of 736125 is 521637.

It is not a de Polignac number, because 736125 - 2² = 736121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 736095 and 736104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4800 + ... + 4950.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁷³⁶¹²⁵ is an apocalyptic number.

736125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

736125 is a deficient number, since it is larger than the sum of its proper divisors (591747).

736125 is a wasteful number, since it uses less digits than its factorization.

736125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 736125 is about 857.9772724263. The cubic root of 736125 is about 90.2922597850.

It can be divided in two parts, 736 and 125, that added together give a triangular number (861 = T₄₁).

The spelling of 736125 in words is "seven hundred thirty-six thousand, one hundred twenty-five".