72083867 has 8 divisors (see below), whose sum is σ = 74454336. Its totient is φ = 69745032.

The previous prime is 72083857. The next prime is 72083887. The reversal of 72083867 is 76838027.

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 72083867 - 2¹⁸ = 71821723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72083857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3233 + ... + 12434.

It is an arithmetic number, because the mean of its divisors is an integer number (9306792).

Almost surely, 2^72083867 is an apocalyptic number.

72083867 is a deficient number, since it is larger than the sum of its proper divisors (2370469).

72083867 is a wasteful number, since it uses less digits than its factorization.

72083867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15817.

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 72083867 is about 8490.2218463359. The cubic root of 72083867 is about 416.1782300728.

The spelling of 72083867 in words is "seventy-two million, eighty-three thousand, eight hundred sixty-seven".