72084825 has 18 divisors (see below), whose sum is σ = 129112334. Its totient is φ = 38445120.

The previous prime is 72084797. The next prime is 72084851. The reversal of 72084825 is 52848027.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5890329 + 66194496 = 2427^2 + 8136^2 .

It is not a de Polignac number, because 72084825 - 2²⁰ = 71036249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72084825.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 159964 + ... + 160413.

Almost surely, 2^72084825 is an apocalyptic number.

72084825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72084825 is a deficient number, since it is larger than the sum of its proper divisors (57027509).

72084825 is a wasteful number, since it uses less digits than its factorization.

72084825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320393 (or 320385 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72084825 is about 8490.2782639911. The cubic root of 72084825 is about 416.1800737446.

The spelling of 72084825 in words is "seventy-two million, eighty-four thousand, eight hundred twenty-five".