72765225 has 36 divisors (see below), whose sum is σ = 140361676. Its totient is φ = 35821440.

The previous prime is 72765211. The next prime is 72765257. The reversal of 72765225 is 52256727.

It can be written as a sum of positive squares in 6 ways, for example, as 30735936 + 42029289 = 5544^2 + 6483^2 .

It is not a de Polignac number, because 72765225 - 2⁸ = 72764969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72765225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9514 + ... + 15363.

Almost surely, 2^72765225 is an apocalyptic number.

72765225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72765225 is a deficient number, since it is larger than the sum of its proper divisors (67596451).

72765225 is a wasteful number, since it uses less digits than its factorization.

72765225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24906 (or 24898 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 72765225 is about 8530.2535132316. The cubic root of 72765225 is about 417.4853999460.

The spelling of 72765225 in words is "seventy-two million, seven hundred sixty-five thousand, two hundred twenty-five".