72475605 has 12 divisors (see below), whose sum is σ = 125624460. Its totient is φ = 38653632.

The previous prime is 72475591. The next prime is 72475631. The reversal of 72475605 is 50657427.

72475605 is a `hidden beast` number, since 7 + 2 + 47 + 5 + 605 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35533521 + 36942084 = 5961^2 + 6078^2 .

It is not a de Polignac number, because 72475605 - 2⁴ = 72475589 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72475605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 805240 + ... + 805329.

It is an arithmetic number, because the mean of its divisors is an integer number (10468705).

Almost surely, 2^72475605 is an apocalyptic number.

It is an amenable number.

72475605 is a deficient number, since it is larger than the sum of its proper divisors (53148855).

72475605 is a wasteful number, since it uses less digits than its factorization.

72475605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610580 (or 1610577 counting only the distinct ones).

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

The square root of 72475605 is about 8513.2605387125. The cubic root of 72475605 is about 416.9307719386.

The spelling of 72475605 in words is "seventy-two million, four hundred seventy-five thousand, six hundred five".