72606105 has 64 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 32486400.

The previous prime is 72606103. The next prime is 72606137. The reversal of 72606105 is 50160627.

It is not a de Polignac number, because 72606105 - 2¹ = 72606103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72606103) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17425 + ... + 21185.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^72606105 is an apocalyptic number.

It is an amenable number.

72606105 is an abundant number, since it is smaller than the sum of its proper divisors (79077735).

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

72606105 is a wasteful number, since it uses less digits than its factorization.

72606105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72606105 is about 8520.9216050847. The cubic root of 72606105 is about 417.1808645580.

The spelling of 72606105 in words is "seventy-two million, six hundred six thousand, one hundred five".