72106605 has 48 divisors (see below), whose sum is σ = 137277504. Its totient is φ = 36184320.

The previous prime is 72106603. The next prime is 72106607. The reversal of 72106605 is 50660127.

It is an interprime number because it is at equal distance from previous prime (72106603) and next prime (72106607).

It is not a de Polignac number, because 72106605 - 2¹ = 72106603 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106603) 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, 18910 + ... + 22400.

It is an arithmetic number, because the mean of its divisors is an integer number (2859948).

Almost surely, 2^72106605 is an apocalyptic number.

It is an amenable number.

72106605 is a deficient number, since it is larger than the sum of its proper divisors (65170899).

72106605 is a wasteful number, since it uses less digits than its factorization.

72106605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3516 counting only the distinct ones).

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

The square root of 72106605 is about 8491.5608105931. The cubic root of 72106605 is about 416.2219849663.

The spelling of 72106605 in words is "seventy-two million, one hundred six thousand, six hundred five".