72064817 has 6 divisors (see below), whose sum is σ = 79211874. Its totient is φ = 65513360.

The previous prime is 72064793. The next prime is 72064823. The reversal of 72064817 is 71846027.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70627216 + 1437601 = 8404^2 + 1199^2 .

It is not a de Polignac number, because 72064817 - 2²⁶ = 4955953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72064117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 297668 + ... + 297909.

It is an arithmetic number, because the mean of its divisors is an integer number (13201979).

Almost surely, 2^72064817 is an apocalyptic number.

It is an amenable number.

72064817 is a deficient number, since it is larger than the sum of its proper divisors (7147057).

72064817 is a wasteful number, since it uses less digits than its factorization.

72064817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595599 (or 595588 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 72064817 is about 8489.0998933927. The cubic root of 72064817 is about 416.1415649394.

The spelling of 72064817 in words is "seventy-two million, sixty-four thousand, eight hundred seventeen".