72415117 has 8 divisors (see below), whose sum is σ = 75756600. Its totient is φ = 69129984.

The previous prime is 72415111. The next prime is 72415153. The reversal of 72415117 is 71151427.

It can be written as a sum of positive squares in 4 ways, for example, as 4748041 + 67667076 = 2179^2 + 8226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72415117 - 2¹¹ = 72413069 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 (72415111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11448 + ... + 16609.

It is an arithmetic number, because the mean of its divisors is an integer number (9469575).

Almost surely, 2^72415117 is an apocalyptic number.

It is an amenable number.

72415117 is a deficient number, since it is larger than the sum of its proper divisors (3341483).

72415117 is a wasteful number, since it uses less digits than its factorization.

72415117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28175.

The product of its digits is 1960, while the sum is 28.

The square root of 72415117 is about 8509.7072217556. The cubic root of 72415117 is about 416.8147497829.

The spelling of 72415117 in words is "seventy-two million, four hundred fifteen thousand, one hundred seventeen".