72795905 has 48 divisors (see below), whose sum is σ = 111873024. Its totient is φ = 44478720.

The previous prime is 72795901. The next prime is 72795907. The reversal of 72795905 is 50959727.

It is not a de Polignac number, because 72795905 - 2² = 72795901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72795901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183167 + ... + 183563.

It is an arithmetic number, because the mean of its divisors is an integer number (2330688).

Almost surely, 2^72795905 is an apocalyptic number.

It is an amenable number.

72795905 is a deficient number, since it is larger than the sum of its proper divisors (39077119).

72795905 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (72795904) it forms an eRAP, since the sums of their prime factors are consecutive (465 and 466).

72795905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 44.

The square root of 72795905 is about 8532.0516290046. The cubic root of 72795905 is about 417.5440664878.

The spelling of 72795905 in words is "seventy-two million, seven hundred ninety-five thousand, nine hundred five".