76125 has 32 divisors (see below), whose sum is σ = 149760. Its totient is φ = 33600.

The previous prime is 76123. The next prime is 76129. The reversal of 76125 is 52167.

It is not a de Polignac number, because 76125 - 2¹ = 76123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

76125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76123) 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, 2611 + ... + 2639.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁷⁶¹²⁵ is an apocalyptic number.

76125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76125 is a deficient number, since it is larger than the sum of its proper divisors (73635).

76125 is a wasteful number, since it uses less digits than its factorization.

76125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 44 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 76125 is about 275.9075932264. The cubic root of 76125 is about 42.3814458394.

It can be divided in two parts, 7 and 6125, that multiplied together give a cube (42875 = 35³).

The spelling of 76125 in words is "seventy-six thousand, one hundred twenty-five".