72312825 has 24 divisors (see below), whose sum is σ = 128755648. Its totient is φ = 35599680.

The previous prime is 72312769. The next prime is 72312833. The reversal of 72312825 is 52821327.

It is not a de Polignac number, because 72312825 - 2⁶ = 72312761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72312792 and 72312801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36109 + ... + 38058.

Almost surely, 2^72312825 is an apocalyptic number.

72312825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72312825 is a deficient number, since it is larger than the sum of its proper divisors (56442823).

72312825 is a wasteful number, since it uses less digits than its factorization.

72312825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74193 (or 74188 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 72312825 is about 8503.6947852095. The cubic root of 72312825 is about 416.6183961859.

It can be divided in two parts, 72312 and 825, that added together give a palindrome (73137).

The spelling of 72312825 in words is "seventy-two million, three hundred twelve thousand, eight hundred twenty-five".