72825 has 12 divisors (see below), whose sum is σ = 120528. Its totient is φ = 38800.

The previous prime is 72823. The next prime is 72859. The reversal of 72825 is 52827.

It is not a de Polignac number, because 72825 - 2¹ = 72823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72795 and 72804.

It is not an unprimeable number, because it can be changed into a prime (72823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2⁷²⁸²⁵ is an apocalyptic number.

72825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72825 is a deficient number, since it is larger than the sum of its proper divisors (47703).

72825 is a wasteful number, since it uses less digits than its factorization.

72825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 979 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 72825 is about 269.8610753703. The cubic root of 72825 is about 41.7599686954.

The spelling of 72825 in words is "seventy-two thousand, eight hundred twenty-five".