72273617 has 24 divisors (see below), whose sum is σ = 83204352. Its totient is φ = 62337600.

The previous prime is 72273581. The next prime is 72273623. The reversal of 72273617 is 71637227.

It is not a de Polignac number, because 72273617 - 2¹⁴ = 72257233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72273697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551642 + ... + 551772.

It is an arithmetic number, because the mean of its divisors is an integer number (3466848).

Almost surely, 2^72273617 is an apocalyptic number.

It is an amenable number.

72273617 is a deficient number, since it is larger than the sum of its proper divisors (10930735).

72273617 is a wasteful number, since it uses less digits than its factorization.

72273617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 212 counting only the distinct ones).

The product of its digits is 24696, while the sum is 35.

The square root of 72273617 is about 8501.3891217847. The cubic root of 72273617 is about 416.5430857680.

The spelling of 72273617 in words is "seventy-two million, two hundred seventy-three thousand, six hundred seventeen".