72417873 has 16 divisors (see below), whose sum is σ = 110880000. Its totient is φ = 41579280.

The previous prime is 72417857. The next prime is 72417889. The reversal of 72417873 is 37871427.

It is an interprime number because it is at equal distance from previous prime (72417857) and next prime (72417889).

It is not a de Polignac number, because 72417873 - 2⁴ = 72417857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72417833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57123 + ... + 58376.

It is an arithmetic number, because the mean of its divisors is an integer number (6930000).

Almost surely, 2^72417873 is an apocalyptic number.

It is an amenable number.

72417873 is a deficient number, since it is larger than the sum of its proper divisors (38462127).

72417873 is a wasteful number, since it uses less digits than its factorization.

72417873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115532.

The product of its digits is 65856, while the sum is 39.

The square root of 72417873 is about 8509.8691529306. The cubic root of 72417873 is about 416.8200374766.

The spelling of 72417873 in words is "seventy-two million, four hundred seventeen thousand, eight hundred seventy-three".