72680465 has 24 divisors (see below), whose sum is σ = 103251624. Its totient is φ = 48787200.

The previous prime is 72680411. The next prime is 72680477. The reversal of 72680465 is 56408627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14737921 + 57942544 = 3839^2 + 7612^2 .

It is not a de Polignac number, because 72680465 - 2¹⁰ = 72679441 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3245 + ... + 12485.

It is an arithmetic number, because the mean of its divisors is an integer number (4302151).

Almost surely, 2^72680465 is an apocalyptic number.

It is an amenable number.

72680465 is a deficient number, since it is larger than the sum of its proper divisors (30571159).

72680465 is a wasteful number, since it uses less digits than its factorization.

72680465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9281 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 72680465 is about 8525.2838662416. The cubic root of 72680465 is about 417.3232354362.

The spelling of 72680465 in words is "seventy-two million, six hundred eighty thousand, four hundred sixty-five".