72417267 has 32 divisors (see below), whose sum is σ = 116244800. Its totient is φ = 44292096.

The previous prime is 72417259. The next prime is 72417269. The reversal of 72417267 is 76271427.

It is a happy number.

It is not a de Polignac number, because 72417267 - 2³ = 72417259 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72417269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67209 + ... + 68277.

It is an arithmetic number, because the mean of its divisors is an integer number (3632650).

Almost surely, 2^72417267 is an apocalyptic number.

72417267 is a deficient number, since it is larger than the sum of its proper divisors (43827533).

72417267 is a wasteful number, since it uses less digits than its factorization.

72417267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1278 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 72417267 is about 8509.8335471383. The cubic root of 72417267 is about 416.8188748094.

The spelling of 72417267 in words is "seventy-two million, four hundred seventeen thousand, two hundred sixty-seven".