72618609 has 32 divisors (see below), whose sum is σ = 113992704. Its totient is φ = 40265280.

The previous prime is 72618607. The next prime is 72618641. The reversal of 72618609 is 90681627.

It is not a de Polignac number, because 72618609 - 2¹ = 72618607 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72618607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105982 + ... + 106664.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^72618609 is an apocalyptic number.

It is an amenable number.

72618609 is a deficient number, since it is larger than the sum of its proper divisors (41374095).

72618609 is a wasteful number, since it uses less digits than its factorization.

72618609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 72618609 is about 8521.6552969479. The cubic root of 72618609 is about 417.2048117183.

It can be divided in two parts, 7 and 2618609, that added together give a triangular number (2618616 = T₂₂₈₈).

The spelling of 72618609 in words is "seventy-two million, six hundred eighteen thousand, six hundred nine".