72015417 has 12 divisors (see below), whose sum is σ = 110141460. Its totient is φ = 45186048.

The previous prime is 72015413. The next prime is 72015443. The reversal of 72015417 is 71451027.

It can be written as a sum of positive squares in 2 ways, for example, as 42302016 + 29713401 = 6504^2 + 5451^2 .

It is not a de Polignac number, because 72015417 - 2² = 72015413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72015413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235192 + ... + 235497.

It is an arithmetic number, because the mean of its divisors is an integer number (9178455).

Almost surely, 2^72015417 is an apocalyptic number.

It is an amenable number.

72015417 is a deficient number, since it is larger than the sum of its proper divisors (38126043).

72015417 is a wasteful number, since it uses less digits than its factorization.

72015417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470712 (or 470709 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 72015417 is about 8486.1897810502. The cubic root of 72015417 is about 416.0464556879.

The spelling of 72015417 in words is "seventy-two million, fifteen thousand, four hundred seventeen".