72482817 has 8 divisors (see below), whose sum is σ = 105429600. Its totient is φ = 43928960.

The previous prime is 72482807. The next prime is 72482863. The reversal of 72482817 is 71828427.

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 72482817 - 2²⁰ = 71434241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72482807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1098192 + ... + 1098257.

It is an arithmetic number, because the mean of its divisors is an integer number (13178700).

It is a Proth number, since it is equal to 553 ⋅ 2¹⁷ + 1 and 553 < 2¹⁷.

Almost surely, 2^72482817 is an apocalyptic number.

It is an amenable number.

72482817 is a deficient number, since it is larger than the sum of its proper divisors (32946783).

72482817 is a wasteful number, since it uses less digits than its factorization.

72482817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196463.

The product of its digits is 50176, while the sum is 39.

The square root of 72482817 is about 8513.6841026667. The cubic root of 72482817 is about 416.9446009826.

The spelling of 72482817 in words is "seventy-two million, four hundred eighty-two thousand, eight hundred seventeen".