72965106 has 24 divisors (see below), whose sum is σ = 160259580. Its totient is φ = 23988096.

The previous prime is 72965099. The next prime is 72965107. The reversal of 72965106 is 60156927.

It can be written as a sum of positive squares in 2 ways, for example, as 65755881 + 7209225 = 8109^2 + 2685^2 .

It is not an unprimeable number, because it can be changed into a prime (72965107) 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, 26451 + ... + 29078.

Almost surely, 2^72965106 is an apocalyptic number.

72965106 is an abundant number, since it is smaller than the sum of its proper divisors (87294474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72965106 is a wasteful number, since it uses less digits than its factorization.

72965106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55610 (or 55607 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72965106 is about 8541.9614843430. The cubic root of 72965106 is about 417.8673182206.

The spelling of 72965106 in words is "seventy-two million, nine hundred sixty-five thousand, one hundred six".